Constructing line bundles on algebraic varieties -- around conjectures of Tate and Grothendieck

Project Information

AlgTateGro

Grant agreement ID: 715747

DOI 10.3030/715747

Project closed

EC signature date 7 November 2016

Start date 1 December 2016

End date 30 November 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 222 328,75

EU contribution € 1 222 328,75

Coordinated by

UNIVERSITE PARIS-SACLAY
France

Publications

Peer reviewed articles (7)

A remark on uniform boundedness for Brauer groups

Author(s): Anna Cadoret, François Charles
Published in: Algebraic Geometry, 2020, ISSN 2313-1691
Publisher: Foundation Compositio Mathematica
DOI: 10.14231/ag-2020-017

Rational curves on elliptic K3 surfaces

Author(s): Salim Tayou
Published in: Mathematical Research Letters, 2020, ISSN 1073-2780
Publisher: Mathematical Publishing
DOI: 10.4310/mrl.2020.v27.n4.a11

On the equidistribution of some Hodge loci

Author(s): Salim Tayou
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), Issue 0/0, 2018, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH & Co. KG
DOI: 10.1515/crelle-2018-0026

On the Bertini regularity theorem for arithmetic varieties

Author(s): Xiaozong Wang
Published in: Journal de l'École Polytechnique, 2022, ISSN 2429-7100
Publisher: Editions de l'École Polytechnique
DOI: 10.1109/jas.2022.105410

Two results on the Hodge structure of complex tori

Author(s): François Charles
Published in: Math. Zeitschrift, 2022, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-022-02996-8

Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields

Author(s): Ananth Shankar, Arul Shankar, Yunqing Tang, Salim Tayou
Published in: Forum of Mathematics, Pi, 2022, ISSN 2050-5086
Publisher: Cambridge University Press
DOI: 10.1017/fmp.2022.14

Arithmetic ampleness and an arithmetic Bertini theorem

Author(s): François Charles
Published in: Annales Scientifiques de l'École Normale Supérieure, Issue 54, 2021, Page(s) 1541-1590, ISSN 0012-9593
Publisher: Elsevier BV
DOI: 10.24033/asens.2488

Conference proceedings (2)

Réseaux euclidiens, séries théta et pentes (d'après W. Banaszczyk, O. Regev, S. Dadush, N. Stephens-Davidowitz, ...

Author(s): Jean-Benoît Bost
Published in: Astérisque, 2021
Publisher: SMF
DOI: 10.24033/ast

Conditions de stabilité en géométrie birationnelle (d'après Bridgeland, Bayer-Macrì...)

Author(s): François Charles
Published in: Astérisque, 2020
Publisher: SMF
DOI: 10.24033/ast.1091

Book chapters (1)

Euclidean lattices, theta invariants, and thermodynamic formalism

Author(s): Jean-Benoît Bost
Published in: Arakelov geometry and Diophantine applications, 2021
Publisher: Springer Verlag
DOI: 10.1007/978-3-030-57559-5