Theory of Stein Spaces in Berkovich Geometry

Project Information

TOSSIBERG

Grant agreement ID: 637027

DOI

10.3030/637027

Project closed

EC signature date 8 May 2015

Start date 1 July 2015

End date 31 December 2020

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 1 153 750,00

EU contribution

€ 1 153 750,00

Coordinated by

UNIVERSITE DE CAEN NORMANDIE
France

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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

Other (10)

Patching over Analytic Fibers and the Local-Global Principle

Author(s): Mehmeti, Vlerë
Published in: 2019
Publisher: arXiv

Berkovich curves and Schottky uniformization

Author(s): Poineau, Jérôme; Turchetti, Daniele
Published in: 2020
Publisher: arXiv

Pro-definability of spaces of definable types

Author(s): Kovacsics, Pablo Cubides; Ye, Jinhe
Published in: 2020
Publisher: arXiv

Espaces de Berkovich sur $\mathbf{Z}$ : cat\'egorie, topologie, cohomologie

Author(s): Lemanissier, Thibaud; Poineau, Jérôme
Published in: 2020
Publisher: arXiv

Cohomology of algebraic varieties over non-archimedean fields

Author(s): Kovacsics, Pablo Cubides; Edmundo, Mário; Ye, Jinhe
Published in: 2020
Publisher: arXiv

A proof of Liouville’s theorem via o-minimality

Author(s): Pablo Cubides Kovacsics
Published in: 2017
Publisher: arXiv

Definable functions in tame expansions of algebraically closed valued fields

Author(s): Pablo Cubides Kovacsics, Françoise Delon
Published in: 2018
Publisher: arXiv

Triangulations of non-archimedean curves, semi-stable reduction, and ramification

Author(s): Lorenzo Fantini, Daniele Turchetti
Published in: 2019
Publisher: arXiv

Tame pairs, Definable types and Pro-definability

Author(s): Pablo Cubides Kovacsics, Jinhe Ye
Published in: 2019
Publisher: arXiv

Definable completeness of $P$-minimal fields and applications

Author(s): Kovacsics, Pablo Cubides; Delon, Françoise
Published in: 2020
Publisher: arXiv

Peer reviewed articles (8)

STRONG DENSITY OF DEFINABLE TYPES AND CLOSED ORDERED DIFFERENTIAL FIELDS

Author(s): QUENTIN BROUETTE, PABLO CUBIDES KOVACSICS, FRANÇOISE POINT
Published in: The Journal of Symbolic Logic, Issue 84/3, 2019, Page(s) 1099-1117, ISSN 0022-4812
Publisher: Association for Symbolic Logic
DOI: 10.1017/jsl.2018.88

A P-MINIMAL STRUCTURE WITHOUT DEFINABLE SKOLEM FUNCTIONS

Author(s): PABLO CUBIDES KOVACSICS, KIEN HUU NGUYEN
Published in: The Journal of Symbolic Logic, Issue 82/02, 2017, Page(s) 778-786, ISSN 0022-4812
Publisher: Association for Symbolic Logic
DOI: 10.1017/jsl.2016.58

On the number of connected components of the ramification locus of a morphism of Berkovich curves

Author(s): Velibor Bojković, Jérôme Poineau
Published in: Mathematische Annalen, 2018, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-018-1668-x

Galois descent of semi-affinoid spaces

Author(s): Lorenzo Fantini, Daniele Turchetti
Published in: Mathematische Zeitschrift, 2018, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-018-2054-9

Clustered cell decomposition in P -minimal structures

Author(s): Saskia Chambille, Pablo Cubides Kovacsics, Eva Leenknegt
Published in: Annals of Pure and Applied Logic, Issue 168/11, 2017, Page(s) 2050-2086, ISSN 0168-0072
Publisher: Elsevier BV
DOI: 10.1016/j.apal.2017.06.002

Exponential-constructible functions in P-minimal structures

Author(s): Saskia Chambille, Pablo Cubides Kovacsics, Eva Leenknegt
Published in: Journal of Mathematical Logic, 2020, Page(s) 2050005, ISSN 0219-0613
Publisher: Singapore University Press
DOI: 10.1142/s0219061320500051

Patching over Berkovich curves and quadratic forms

Author(s): Vlerë Mehmeti
Published in: Compositio Mathematica, Issue 155/12, 2019, Page(s) 2399-2438, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/S0010437X19007632

DEFINABLE SETS OF BERKOVICH CURVES

Author(s): Pablo Cubides Kovacsics, Jérôme Poineau
Published in: Journal of the Institute of Mathematics of Jussieu, 2019, Page(s) 1-65, ISSN 1474-7480
Publisher: Cambridge University Press
DOI: 10.1017/S1474748019000495

Non-peer reviewed articles (4)

Pushforwards of p-adic differential equations

Author(s): Velibor Bojković, Jérôme Poineau
Published in: American Journal of Mathematics, Issue 142/3, 2020, Page(s) 923-955, ISSN 1080-6377
Publisher: Johns Hopkins University Press
DOI: 10.1353/ajm.2020.0021

Notions of Stein spaces in non-Archimedean geometry

Author(s): Marco Maculan, Jérôme Poineau
Published in: Journal of Algebraic Geometry, 2020, Page(s) 1, ISSN 1056-3911
Publisher: American Mathematical Society
DOI: 10.1090/jag/764

On valuation independence and defectless extensions of valued fields

Author(s): Pablo Cubides Kovacsics, Franz-Viktor Kuhlmann, Anna Rzepka
Published in: Journal of Algebra, Issue 555, 2020, Page(s) 69-95, ISSN 0021-8693
Publisher: Academic Press
DOI: 10.1016/j.jalgebra.2020.02.021

Real closed valued fields with analytic structure

Author(s): Pablo Cubides Kovacsics, Deirdre Haskell
Published in: Proceedings of the Edinburgh Mathematical Society, Issue 63/1, 2020, Page(s) 249-261, ISSN 0013-0915
Publisher: Cambridge University Press
DOI: 10.1017/s0013091519000361