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

Variation of anticyclotomic Iwasawa invariants in Hida families

Autores: Francesc Castella, Chan-Ho Kim, Matteo Longo
Publicado en: Algebra and Number Theory, Edición 11, 2017, Página(s) 2339-2368, ISSN 1937-0652
Editor: Mathematical Sciences Publishers

Endomorphism algebras of geometrically splitabelian surfaces over ℚ

Autores: Francesc Fité, Xavier Guitart
Publicado en: Algebra & Number Theory, Edición 14/6, 2020, Página(s) 1399-1421, ISSN 1937-0652
Editor: Mathematical Sciences Publishers
DOI: 10.2140/ant.2020.14.1399

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

Autores: Adel Betina, Emmanuel Lecouturier
Publicado en: Transactions of the American Mathematical Society, Edición 371/1, 2019, Página(s) 413-429, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/7236

The exceptional zero phenomenon for elliptic units

Autores: Óscar Rivero
Publicado en: Revista Matemática Iberoamericana, 2020, ISSN 0213-2230
Editor: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1229

p-adic families of d-th Shintani liftings

Autores: Daniele Casazza, Carlos de Vera-Piquero
Publicado en: Annales mathématiques du Québec, 2019, ISSN 2195-4763
Editor: Springer

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

Autores: Francesca Gatti, Xavier Guitart, Marc Masdeu, Victor Rotger
Publicado en: Journal de Théorie des Nombres de Bordeaux, Edición 3, 2022, Página(s) 809-834, ISSN 1246-7405
Editor: Universite de Bordeaux III

Del Pezzo surfaces over finite fields and their Frobenius traces

Autores: Barinder Banwait, Francesc Fité, Daniel Loughran
Publicado en: Mathematical Proceedings of the Cambridge Philosophical Society, Edición 167, 2019, Página(s) 35-60, ISSN 0305-0041
Editor: Cambridge University Press

A quaternionic construction of p-adic singular moduli

Autores: Xavier Guitart, Marc Masdeu, Xavier Xarles
Publicado en: Research in the Mathematical Sciences, Edición 8, 2022, ISSN 2522-0144
Editor: Springer

Class groups and local indecomposability for non-CM forms

Autores: Francesc Castella, Carl Wang-Erickson, Haruzo Hida
Publicado en: Journal of the European Mathematical Society, Edición 24, 2022, Página(s) 1103-1160, ISSN 1435-9855
Editor: European Mathematical Society Publishing House
DOI: 10.4171/jems/1107

Congruences formulas for Legendre modular polynomials

Autores: Adel Betina, Emmanuel Lecouturier
Publicado en: Journal of Number Theory, Edición 188, 2018, Página(s) 71-87, ISSN 0022-314X
Editor: Academic Press

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

Autores: Santiago Molina
Publicado en: Journal of Number Theory, Edición 223, 2021, Página(s) 267-306, ISSN 0022-314X
Editor: Academic Press

Plectic p-adic invariants

Autores: Michele Fornea; Xavier Guitart; Marc Masdeu
Publicado en: Advances in Mathematics, 2022, ISSN 0001-8708
Editor: Academic Press

Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 L-Series

Autores: Aprameyo Pal, Carlos de Vera-Piquero
Publicado en: Documenta Mathematica, Edición 24, 2019, Página(s) 1935-2036, ISSN 1431-0635
Editor: Deutsche Mathematiker-Vereinigung
DOI: 10.25537/dm.2019v24.1935-2036

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

Autores: Óscar Rivero, Victor Rotger
Publicado en: Journal of the European Mathematical Society, Edición 23, 2021, Página(s) 2299-2335, ISSN 1435-9855
Editor: European Mathematical Society Publishing House

p-adic families of diagonal cycles

Autores: Henri Darmon; Victor Rotger
Publicado en: Astérisque, Edición 434, 2022, ISSN 0303-1179
Editor: Societe Mathematique de France
DOI: 10.48550/arXiv.2207.01314

On the L‐invariant of the adjoint of a weight one modular form

Autores: Marti Roset, Victor Rotger, Vinayak Vatsal
Publicado en: Journal of the London Mathematical Society, 2021, ISSN 0024-6107
Editor: Oxford University Press
DOI: 10.1112/jlms.12428

Generalized Kato classes and exceptional zero conjectures

Autores: Óscar Rivero
Publicado en: Indiana University Mathematics Journal, Edición 71, 2022, Página(s) 649-684, ISSN 0022-2518
Editor: Indiana University Press

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

Autores: Antonio Cauchi, Antonio Lei
Publicado en: Publicacions Matematiques, Edición 66, 2022, Página(s) 571-630, ISSN 0210-2978
Editor: Universitat Autonoma de Barcelona

Extremal p-adic L-functions

Autores: Santiago Molina
Publicado en: Mathematics, Edición 9, 2021, ISSN 2227-7390
Editor: MDPI

Fields of definition of elliptic $k$-curves and the realizability of all genus 2 Sato–Tate groups over a number field

Autores: Francesc Fité, Xavier Guitart
Publicado en: Transactions of the American Mathematical Society, Edición 370/7, 2018, Página(s) 4623-4659, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/7074

The derived Hecke algebra for dihedral weight one forms

Autores: Henri Darmon; Michael Harris; Victor Rotger; Akshay Venkatesh
Publicado en: Michigan Mathematical Journal, Edición 72, 2022, Página(s) 145-207, ISSN 0026-2285
Editor: University Of Michigan, Department of Mathematics

On the Elliptic Stark Conjecture in higher weight

Autores: Francesca Gatti; Xavier Guitart
Publicado en: Publicacions Matemàtiques, Edición 6, 2020, ISSN 0210-2978
Editor: Universitat Autònoma de Barcelona
DOI: 10.5565/publmat6422009

Overconvergent Eichler–Shimura isomorphisms for quaternionic modular forms over ℚ

Autores: Daniel Barrera Salazar; Shan Gao
Publicado en: International Journal of Number Theory, 2017, Página(s) 2487-2504, ISSN 1793-0421
Editor: World Scientific Publishing Co
DOI: 10.1142/s1793042117501494

p-adic heights of Heegner points and Beilinson-Flach classes

Autores: Francesc Castella
Publicado en: Journal of the London Mathematical Society, Edición 96/1, 2017, Página(s) 156-180, ISSN 0024-6107
Editor: Oxford University Press
DOI: 10.1112/jlms.12058

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

Autores: Adel Betina, Mladen Dimitrov, Alice Pozzi
Publicado en: American Journal of Mathematics, Edición 144, 2018, Página(s) 227-265, ISSN 0002-9327
Editor: The Johns Hopkins University Press

On the Hilbert eigenvariety at exotic and CM classical weight 1 points

Autores: Adel Betina, Shaunak V. Deo, Francesc Fité
Publicado en: Mathematische Zeitschrift, 2021, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-020-02626-1

On the p-adic variation of Heegner points

Autores: Francesc Castella
Publicado en: J. Inst. Math. Jussieu, Edición 19, 2020, Página(s) 2127-2164, ISSN 1474-7480
Editor: Cambridge University Press

Anticyclotomic $p$-adic $L$-functions and the exceptional zero phenomenon

Autores: Santiago Molina
Publicado en: Transactions of the American Mathematical Society, 2019, Página(s) 1, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/7646

Ramification of the Eigencurve at Classical RM Points

Autores: Adel Betina
Publicado en: Canadian Journal of Mathematics, 2019, Página(s) 1-32, ISSN 0008-414X
Editor: Canadian Mathematical Society
DOI: 10.4153/cjm-2018-029-4

On the $p$-part of the Birch–Swinnerton-Dyer formula for multiplicative primes

Autores: Francesc Castella
Publicado en: Cambridge Journal of Mathematics, Edición 6/1, 2018, Página(s) 1-23, ISSN 2168-0930
Editor: International Press
DOI: 10.4310/cjm.2018.v6.n1.a1

Exceptional zeros and $\mathcal {L}$-invariants of Bianchi modular forms

Autores: Daniel Barrera Salazar, Chris Williams
Publicado en: Transactions of the American Mathematical Society, 2019, Página(s) 1, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/7436

On the Rank and the Convergence Rate Toward the Sato–Tate Measure

Autores: Francesc Fité, Xavier Guitart
Publicado en: International Mathematics Research Notices, 2017, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnx234

An automorphic approach to Darmon points

Autores: X. Guitart, M. Masdeu, S. Molina
Publicado en: Indiana University Mathematics Journal, 2019, ISSN 0022-2518
Editor: Indiana University Press

Sato–Tate distributions of twists of the Fermat and the Klein quartics

Autores: Francesc Fité, Elisa Lorenzo García, Andrew V. Sutherland
Publicado en: Research in the Mathematical Sciences, Edición 5/4, 2018, ISSN 2522-0144
Editor: Springer
DOI: 10.1007/s40687-018-0162-0

On the elliptic Stark conjecture at primes of multiplicative reduction

Autores: Daniele Casazza, Victor Rotger
Publicado en: Indiana University Mathematics Journal, Edición 68, 2019, Página(s) 1233-1253, ISSN 0022-2518
Editor: Indiana University Press

Periods of Modular GL 2 -type Abelian Varieties and p -adic Integration

Autores: Xavier Guitart, Marc Masdeu
Publicado en: Experimental Mathematics, Edición 27/3, 2017, Página(s) 344-361, ISSN 1058-6458
Editor: A K Peters Ltd.
DOI: 10.1080/10586458.2017.1284624

Families of Picard modular forms and an application to the Bloch–Kato conjecture

Autores: Valentin Hernandez
Publicado en: Compositio Mathematica, Edición 155/7, 2019, Página(s) 1327-1401, ISSN 0010-437X
Editor: London Mathematical Society
DOI: 10.1112/s0010437x1900736x

Beilinson–Flach elements, Stark units and -adic iterated integrals

Autores: Óscar Rivero, Victor Rotger
Publicado en: Forum Mathematicum, Edición 0/0, 2019, ISSN 0933-7741
Editor: 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

Autores: Daniel Barrera Salazar, Chris Williams, Carl Wang-Erickson
Publicado en: Selecta Mathematica, Edición 82, 2021, Página(s) 1-45, ISSN 1022-1824
Editor: Birkhauser Verlag

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

Autores: Barrera, Daniel; Dimitrov, Mladen; Jorza, Andrei
Publicado en: Journal of the European Mathematical Society, Edición 24, 2022, Página(s) 3439-3503, ISSN 1435-9855
Editor: European Mathematical Society Publishing House

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

Autores: Francesc Fite; Xavier Guitart
Publicado en: Mathematische Zeitschrift, Edición 3, 2022, Página(s) 2975-2995, ISSN 0025-5874
Editor: Springer Verlag

p-adic L-functions for GL(2)

Autores: Daniel Barrera Salazar, Christopher Williams
Publicado en: Canadian Journal of Mathematics, Edición 71, 2019, Página(s) 1019-1059, ISSN 0008-414X
Editor: Canadian Mathematical Society

AUTOMORPHIC SL 2 ‐PERIODS AND THE SUBCONVEXITY PROBLEM FOR GL 2 × GL 3

Autores: Aprameyo Pal, Carlos de Vera‐Piquero
Publicado en: Mathematika, Edición 66/4, 2020, Página(s) 855-899, ISSN 0025-5793
Editor: University College London, Department of Mathematics
DOI: 10.1112/mtk.12047

Stark points and the Hida–Rankin p-adic L-function

Autores: Daniele Casazza, Victor Rotger
Publicado en: The Ramanujan Journal, Edición 45/2, 2018, Página(s) 451-473, ISSN 1382-4090
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11139-016-9824-y

Stark-Heegner points and diagonal classes

Autores: Henri Darmon, Victor Rotger
Publicado en: Astérisque, Edición 434, 2022, ISSN 0303-1179
Editor: Societe Mathematique de France

Overconvergent cohomology of Hilbert modular varieties and $p$-adic $L$-functions

Autores: Daniel Barrera Salazar
Publicado en: Ann. Inst. Fourier, 2018, Página(s) 2177-2213, ISSN 0373-0956
Editor: 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

Autores: Óscar Rivero, Victor Rotger
Publicado en: 2021
Editor: Cornell University

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

Autores: Guillem Sala
Publicado en: 2022
Editor: Cornell University

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

Autores: Daniel Barrera; Mladen Dimitrov; Christopher Williams
Publicado en: 2021
Editor: Cornell University

Algebraic cycles and functorial lifts from G2 to PGSp6

Autores: Antonio Cauchi, Francesco Lemma, Joaquin Rodrigues Jacinto
Publicado en: 2022
Editor: Cornell University

Exceptional zero formulas for anticyclotomic p-adic L-functions

Autores: Victor Hernandez; Santiago Molina
Publicado en: 2021
Editor: Cornell University

Sato-Tate groups of abelian threefolds

Autores: Francesc Fité; Kiran Keldaya; Andrew Sutherland
Publicado en: 2021
Editor: Cornell University

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

Autores: Victor Hernandez; Santiago Molina
Publicado en: 2022
Editor: Cornell University

Motivic congruences and Sharifi's conjecture

Autores: Óscar Rivero, Victor Rotger
Publicado en: 2021
Editor: Cornell University

Kolyvagin classes versus non-cristalline diagonal classes

Autores: Francesca Gatti, Victor Rotger
Publicado en: 2021
Editor: Cornell University

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

Autores: Antonio Cauchi, Francesco Lemma, Joaquin Rodrigues Jacinto
Publicado en: 2022
Editor: Cornell University

Waldspurger formulas in higher cohomology

Autores: Santiago Molina
Publicado en: 2022
Editor: Cornell University

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

Autores: Daniel Barrera Salazar, Santiago Molina
Publicado en: 2019
Editor: Cornell University

Iwasasa theory for GL2xGL2 and diagonal cycles

Autores: Raul Alonso; Francesc Castella; Oscar Rivero
Publicado en: 2021
Editor: Cornell University

On Higher regulators of Siegel varieties

Autores: Antonio Cauchi, Francesco Lemma, Joaquín Rodrigues Jacinto
Publicado en: 2020
Editor: Cornell University

A truncated Siegel-Weil formula and Borcherds forms

Autores: Armando Gutierrez
Publicado en: 2022
Editor: Cornell University

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

Autores: Francesc Castella, Mirela Ciperiani, Christopher Skinner, Florian Sprung
Publicado en: 2018
Editor: Cornell University

Effective Sato-Tate conjecture for abelian varieties and applications

Autores: Alina Bucur, Francesc Fité, Kiran S. Kedlaya
Publicado en: 2020
Editor: Cornell University

First Order p-Adic Deformations of Weight One Newforms

Autores: Henri Darmon, Alan Lauder, Victor Rotger
Publicado en: L-Functions and Automorphic Forms, Edición 10, 2017, Página(s) 39-80, ISBN 978-3-319-69711-6
Editor: Springer International Publishing
DOI: 10.1007/978-3-319-69712-3_4

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