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Euler systems and the conjectures of Birch and Swinnerton-Dyer, Bloch and Kato

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Variation of anticyclotomic Iwasawa invariants in Hida families

Author(s): Francesc Castella, Chan-Ho Kim, Matteo Longo
Published in: Algebra and Number Theory, Issue 11, 2017, Page(s) 2339-2368, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers

Endomorphism algebras of geometrically splitabelian surfaces over ℚ (opens in new window)

Author(s): Francesc Fité, Xavier Guitart
Published in: Algebra & Number Theory, Issue 14/6, 2020, Page(s) 1399-1421, ISSN 1937-0652
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/ant.2020.14.1399

On the $p$-adic periods of the modular curve $X(\Gamma _0(p) \cap \Gamma (2))$ (opens in new window)

Author(s): Adel Betina, Emmanuel Lecouturier
Published in: Transactions of the American Mathematical Society, Issue 371/1, 2019, Page(s) 413-429, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7236

The exceptional zero phenomenon for elliptic units (opens in new window)

Author(s): Óscar Rivero
Published in: Revista Matemática Iberoamericana, Issue 37, 2020, Page(s) 1333-1364, ISSN 0213-2230
Publisher: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1229

p-adic families of d-th Shintani liftings

Author(s): Daniele Casazza, Carlos de Vera-Piquero
Published in: Annales mathématiques du Québec, 2019, ISSN 2195-4763
Publisher: Springer

Special values of triple-product p-adic L-functions and non-crystalline diagonal classes

Author(s): Francesca Gatti, Xavier Guitart, Marc Masdeu, Victor Rotger
Published in: Journal de Théorie des Nombres de Bordeaux, Issue 3, 2022, Page(s) 809-834, ISSN 1246-7405
Publisher: Universite de Bordeaux III

Del Pezzo surfaces over finite fields and their Frobenius traces

Author(s): Barinder Banwait, Francesc Fité, Daniel Loughran
Published in: Mathematical Proceedings of the Cambridge Philosophical Society, Issue 167, 2019, Page(s) 35-60, ISSN 0305-0041
Publisher: Cambridge University Press

A quaternionic construction of p-adic singular moduli

Author(s): Xavier Guitart, Marc Masdeu, Xavier Xarles
Published in: Research in the Mathematical Sciences, Issue 8, 2022, ISSN 2522-0144
Publisher: Springer

Class groups and local indecomposability for non-CM forms (opens in new window)

Author(s): Francesc Castella, Carl Wang-Erickson, Haruzo Hida
Published in: Journal of the European Mathematical Society, Issue 24, 2022, Page(s) 1103-1160, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/jems/1107

Congruences formulas for Legendre modular polynomials

Author(s): Adel Betina, Emmanuel Lecouturier
Published in: Journal of Number Theory, Issue 188, 2018, Page(s) 71-87, ISSN 0022-314X
Publisher: Academic Press

Finite slope Triple Product p-adic L-functions over totally real fields

Author(s): Santiago Molina
Published in: Journal of Number Theory, Issue 223, 2021, Page(s) 267-306, ISSN 0022-314X
Publisher: Academic Press

Plectic p-adic invariants

Author(s): Michele Fornea; Xavier Guitart; Marc Masdeu
Published in: Advances in Mathematics, 2022, ISSN 0001-8708
Publisher: Academic Press

Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 L-Series (opens in new window)

Author(s): Aprameyo Pal, Carlos de Vera-Piquero
Published in: Documenta Mathematica, Issue 24, 2019, Page(s) 1935-2036, ISSN 1431-0635
Publisher: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2019v24.1935-2036

Derived Beilinson-Flach elements and the arithmetic of the adjoint of a modular form

Author(s): Óscar Rivero, Victor Rotger
Published in: Journal of the European Mathematical Society, Issue 23, 2021, Page(s) 2299-2335, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House

p-adic families of diagonal cycles (opens in new window)

Author(s): Henri Darmon; Victor Rotger
Published in: Astérisque, Issue 434, 2022, ISSN 0303-1179
Publisher: Societe Mathematique de France
DOI: 10.48550/arXiv.2207.01314

On the L‐invariant of the adjoint of a weight one modular form (opens in new window)

Author(s): Marti Roset, Victor Rotger, Vinayak Vatsal
Published in: Journal of the London Mathematical Society, Issue 104, 2021, Page(s) 206-232, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12428

Generalized Kato classes and exceptional zero conjectures

Author(s): Óscar Rivero
Published in: Indiana University Mathematics Journal, Issue 71, 2022, Page(s) 649-684, ISSN 0022-2518
Publisher: Indiana University Press

On the analogue of Mazur-Tate type conjectures in the Rankin-Selberg setting

Author(s): Antonio Cauchi, Antonio Lei
Published in: Publicacions Matematiques, Issue 66, 2022, Page(s) 571-630, ISSN 0210-2978
Publisher: Universitat Autonoma de Barcelona

Extremal p-adic L-functions

Author(s): Santiago Molina
Published in: Mathematics, Issue 9, 2021, ISSN 2227-7390
Publisher: MDPI

Fields of definition of elliptic $k$-curves and the realizability of all genus 2 Sato–Tate groups over a number field (opens in new window)

Author(s): Francesc Fité, Xavier Guitart
Published in: Transactions of the American Mathematical Society, Issue 370/7, 2018, Page(s) 4623-4659, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7074

The derived Hecke algebra for dihedral weight one forms

Author(s): Henri Darmon; Michael Harris; Victor Rotger; Akshay Venkatesh
Published in: Michigan Mathematical Journal, Issue 72, 2022, Page(s) 145-207, ISSN 0026-2285
Publisher: University Of Michigan, Department of Mathematics

On the Elliptic Stark Conjecture in higher weight (opens in new window)

Author(s): Francesca Gatti; Xavier Guitart
Published in: Publicacions Matemàtiques, Issue 6, 2020, ISSN 0210-2978
Publisher: Universitat Autònoma de Barcelona
DOI: 10.5565/publmat6422009

Overconvergent Eichler–Shimura isomorphisms for quaternionic modular forms over ℚ (opens in new window)

Author(s): Daniel Barrera Salazar; Shan Gao
Published in: International Journal of Number Theory, Issue 10, 2017, Page(s) 2487-2504, ISSN 1793-0421
Publisher: World Scientific Publishing Co
DOI: 10.1142/s1793042117501494

p-adic heights of Heegner points and Beilinson-Flach classes (opens in new window)

Author(s): Francesc Castella
Published in: Journal of the London Mathematical Society, Issue 96/1, 2017, Page(s) 156-180, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12058

On the failure of Gorensteinness at weight 1 Eisenstein points of the eigencurve

Author(s): Adel Betina, Mladen Dimitrov, Alice Pozzi
Published in: American Journal of Mathematics, Issue 144, 2018, Page(s) 227-265, ISSN 0002-9327
Publisher: The Johns Hopkins University Press

On the Hilbert eigenvariety at exotic and CM classical weight 1 points (opens in new window)

Author(s): Adel Betina, Shaunak V. Deo, Francesc Fité
Published in: Mathematische Zeitschrift, Issue 3, 2021, Page(s) 1077-1096, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-020-02626-1

On the p-adic variation of Heegner points

Author(s): Francesc Castella
Published in: J. Inst. Math. Jussieu, Issue 19, 2020, Page(s) 2127-2164, ISSN 1474-7480
Publisher: Cambridge University Press

Anticyclotomic $p$-adic $L$-functions and the exceptional zero phenomenon (opens in new window)

Author(s): Santiago Molina
Published in: Transactions of the American Mathematical Society, 2019, Page(s) 1, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7646

Ramification of the Eigencurve at Classical RM Points (opens in new window)

Author(s): Adel Betina
Published in: Canadian Journal of Mathematics, 2019, Page(s) 1-32, ISSN 0008-414X
Publisher: Canadian Mathematical Society
DOI: 10.4153/cjm-2018-029-4

On the $p$-part of the Birch–Swinnerton-Dyer formula for multiplicative primes (opens in new window)

Author(s): Francesc Castella
Published in: Cambridge Journal of Mathematics, Issue 6/1, 2018, Page(s) 1-23, ISSN 2168-0930
Publisher: International Press
DOI: 10.4310/cjm.2018.v6.n1.a1

Exceptional zeros and $\mathcal {L}$-invariants of Bianchi modular forms (opens in new window)

Author(s): Daniel Barrera Salazar, Chris Williams
Published in: Transactions of the American Mathematical Society, Issue 372, 2019, Page(s) 1, ISSN 0002-9947
Publisher: American Mathematical Society
DOI: 10.1090/tran/7436

On the Rank and the Convergence Rate Toward the Sato–Tate Measure (opens in new window)

Author(s): Francesc Fité, Xavier Guitart
Published in: International Mathematics Research Notices, Issue 13, 2017, Page(s) 4081-4118, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnx234

An automorphic approach to Darmon points

Author(s): X. Guitart, M. Masdeu, S. Molina
Published in: Indiana University Mathematics Journal, 2019, ISSN 0022-2518
Publisher: Indiana University Press

Sato–Tate distributions of twists of the Fermat and the Klein quartics (opens in new window)

Author(s): Francesc Fité, Elisa Lorenzo García, Andrew V. Sutherland
Published in: Research in the Mathematical Sciences, Issue 5/4, 2018, ISSN 2522-0144
Publisher: Springer
DOI: 10.1007/s40687-018-0162-0

On the elliptic Stark conjecture at primes of multiplicative reduction

Author(s): Daniele Casazza, Victor Rotger
Published in: Indiana University Mathematics Journal, Issue 68, 2019, Page(s) 1233-1253, ISSN 0022-2518
Publisher: Indiana University Press

Periods of Modular GL 2 -type Abelian Varieties and p -adic Integration (opens in new window)

Author(s): Xavier Guitart, Marc Masdeu
Published in: Experimental Mathematics, Issue 27/3, 2017, Page(s) 344-361, ISSN 1058-6458
Publisher: A K Peters Ltd.
DOI: 10.1080/10586458.2017.1284624

Families of Picard modular forms and an application to the Bloch–Kato conjecture (opens in new window)

Author(s): Valentin Hernandez
Published in: Compositio Mathematica, Issue 155/7, 2019, Page(s) 1327-1401, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/s0010437x1900736x

Beilinson–Flach elements, Stark units and -adic iterated integrals (opens in new window)

Author(s): Óscar Rivero, Victor Rotger
Published in: Forum Mathematicum, Issue 0/0, 2019, Page(s) 1517-1532, ISSN 0933-7741
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/forum-2018-0281

Families of Bianchi modular symbols: critical base-change p-adic L-functions and p-adic Artin formalism

Author(s): Daniel Barrera Salazar, Chris Williams, Carl Wang-Erickson
Published in: Selecta Mathematica, Issue 82, 2021, Page(s) 1-45, ISSN 1022-1824
Publisher: Birkhauser Verlag

$p$-adic $L$-functions of Hilbert cusp forms and the trivial zero conjecture

Author(s): Barrera, Daniel; Dimitrov, Mladen; Jorza, Andrei
Published in: Journal of the European Mathematical Society, Issue 24, 2022, Page(s) 3439-3503, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House

Tate module tensor decompositions and the Sato-Tate conjecture for certain abelian varieties potentially of $\mathrm{GL}_2$-type

Author(s): Francesc Fite; Xavier Guitart
Published in: Mathematische Zeitschrift, Issue 3, 2022, Page(s) 2975-2995, ISSN 0025-5874
Publisher: Springer Verlag

p-adic L-functions for GL(2)

Author(s): Daniel Barrera Salazar, Christopher Williams
Published in: Canadian Journal of Mathematics, Issue 71, 2019, Page(s) 1019-1059, ISSN 0008-414X
Publisher: Canadian Mathematical Society

AUTOMORPHIC SL 2 ‐PERIODS AND THE SUBCONVEXITY PROBLEM FOR GL 2 × GL 3 (opens in new window)

Author(s): Aprameyo Pal, Carlos de Vera‐Piquero
Published in: Mathematika, Issue 66/4, 2020, Page(s) 855-899, ISSN 0025-5793
Publisher: University College London, Department of Mathematics
DOI: 10.1112/mtk.12047

Stark points and the Hida–Rankin p-adic L-function (opens in new window)

Author(s): Daniele Casazza, Victor Rotger
Published in: The Ramanujan Journal, Issue 45/2, 2018, Page(s) 451-473, ISSN 1382-4090
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11139-016-9824-y

Stark-Heegner points and diagonal classes

Author(s): Henri Darmon, Victor Rotger
Published in: Astérisque, Issue 434, 2022, ISSN 0303-1179
Publisher: Societe Mathematique de France

Overconvergent cohomology of Hilbert modular varieties and $p$-adic $L$-functions (opens in new window)

Author(s): Daniel Barrera Salazar
Published in: Ann. Inst. Fourier, 2018, Page(s) 2177-2213, ISSN 0373-0956
Publisher: Association des Annales de I'Institut Fourier
DOI: 10.5802/aif.3206

Cyclotomic derivatives of Beilinson--Flach classes and a p-adic Harris--Venkatesh conjecture

Author(s): Óscar Rivero, Victor Rotger
Published in: 2021
Publisher: Cornell University

Homotopy groups of spectra and p-adic L-functions over totally real number fields

Author(s): Guillem Sala
Published in: 2022
Publisher: Cornell University

On p-adic L-functions for GL2n in finite slope Shalika families

Author(s): Daniel Barrera; Mladen Dimitrov; Christopher Williams
Published in: 2021
Publisher: Cornell University

Algebraic cycles and functorial lifts from G2 to PGSp6

Author(s): Antonio Cauchi, Francesco Lemma, Joaquin Rodrigues Jacinto
Published in: 2022
Publisher: Cornell University

Exceptional zero formulas for anticyclotomic p-adic L-functions

Author(s): Victor Hernandez; Santiago Molina
Published in: 2021
Publisher: Cornell University

Sato-Tate groups of abelian threefolds

Author(s): Francesc Fité; Kiran Keldaya; Andrew Sutherland
Published in: 2021
Publisher: Cornell University

Plectic points and Hida-Rankin p-adic L-functions

Author(s): Victor Hernandez; Santiago Molina
Published in: 2022
Publisher: Cornell University

Motivic congruences and Sharifi's conjecture

Author(s): Óscar Rivero, Victor Rotger
Published in: 2021
Publisher: Cornell University

Kolyvagin classes versus non-cristalline diagonal classes

Author(s): Francesca Gatti, Victor Rotger
Published in: 2021
Publisher: Cornell University

Higher regulators of Siegel sixfolds and non-critical values of Spin L-functions

Author(s): Antonio Cauchi, Francesco Lemma, Joaquin Rodrigues Jacinto
Published in: 2022
Publisher: Cornell University

Waldspurger formulas in higher cohomology

Author(s): Santiago Molina
Published in: 2022
Publisher: Cornell University

Triple product p-adic L-functions for Shimura curves over totally real number fields

Author(s): Daniel Barrera Salazar, Santiago Molina
Published in: 2019
Publisher: Cornell University

Iwasasa theory for GL2xGL2 and diagonal cycles

Author(s): Raul Alonso; Francesc Castella; Oscar Rivero
Published in: 2021
Publisher: Cornell University

On Higher regulators of Siegel varieties

Author(s): Antonio Cauchi, Francesco Lemma, Joaquín Rodrigues Jacinto
Published in: 2020
Publisher: Cornell University

A truncated Siegel-Weil formula and Borcherds forms

Author(s): Armando Gutierrez
Published in: 2022
Publisher: Cornell University

On the Iwasawa main conjectures for modular forms at non-ordinary primes

Author(s): Francesc Castella, Mirela Ciperiani, Christopher Skinner, Florian Sprung
Published in: 2018
Publisher: Cornell University

Effective Sato-Tate conjecture for abelian varieties and applications

Author(s): Alina Bucur, Francesc Fité, Kiran S. Kedlaya
Published in: 2020
Publisher: Cornell University

First Order p-Adic Deformations of Weight One Newforms (opens in new window)

Author(s): Henri Darmon, Alan Lauder, Victor Rotger
Published in: L-Functions and Automorphic Forms, Issue 10, 2017, Page(s) 39-80, ISBN 978-3-319-69711-6
Publisher: Springer International Publishing
DOI: 10.1007/978-3-319-69712-3_4

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