The Ax-Schanuel conjecture for variations of mixed Hodge structures

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Ziyang Gao
  • Bruno Klingler

Externe Organisationen

  • Humboldt-Universität zu Berlin (HU Berlin)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)3847-3895
Seitenumfang49
FachzeitschriftMathematische Annalen
Jahrgang388
Ausgabenummer4
Frühes Online-Datum17 Apr. 2023
PublikationsstatusVeröffentlicht - Apr. 2024

Abstract

We prove in this paper the Ax-Schanuel conjecture for all admissible variations of mixed Hodge structures.

ASJC Scopus Sachgebiete

Zitieren

The Ax-Schanuel conjecture for variations of mixed Hodge structures. / Gao, Ziyang; Klingler, Bruno.
in: Mathematische Annalen, Jahrgang 388, Nr. 4, 04.2024, S. 3847-3895.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Gao Z, Klingler B. The Ax-Schanuel conjecture for variations of mixed Hodge structures. Mathematische Annalen. 2024 Apr;388(4):3847-3895. Epub 2023 Apr 17. doi: 10.1007/s00208-023-02614-w
Gao, Ziyang ; Klingler, Bruno. / The Ax-Schanuel conjecture for variations of mixed Hodge structures. in: Mathematische Annalen. 2024 ; Jahrgang 388, Nr. 4. S. 3847-3895.
Download
@article{2fc847cf4888493abf6ab473a44fda88,
title = "The Ax-Schanuel conjecture for variations of mixed Hodge structures",
abstract = " We prove in this paper the Ax-Schanuel conjecture for all admissible variations of mixed Hodge structures. ",
keywords = "math.NT, math.AG, 11G10, 11G18, 14G35, 14C30, 14J10",
author = "Ziyang Gao and Bruno Klingler",
note = "Funding Information: ZG has received fundings from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (Grant agreement 945714). BK has received fundings from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (Grant agreement 101020009). The authors would like to thank Jacob Tsimerman for having pointed out a mistake in a previous version of Sect. and for explaining to us the similarities of our new Sect. and Chiu{\textquoteright}s [, Sect. 8]. ",
year = "2024",
month = apr,
doi = "10.1007/s00208-023-02614-w",
language = "English",
volume = "388",
pages = "3847--3895",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer New York",
number = "4",

}

Download

TY - JOUR

T1 - The Ax-Schanuel conjecture for variations of mixed Hodge structures

AU - Gao, Ziyang

AU - Klingler, Bruno

N1 - Funding Information: ZG has received fundings from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement 945714). BK has received fundings from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement 101020009). The authors would like to thank Jacob Tsimerman for having pointed out a mistake in a previous version of Sect. and for explaining to us the similarities of our new Sect. and Chiu’s [, Sect. 8].

PY - 2024/4

Y1 - 2024/4

N2 - We prove in this paper the Ax-Schanuel conjecture for all admissible variations of mixed Hodge structures.

AB - We prove in this paper the Ax-Schanuel conjecture for all admissible variations of mixed Hodge structures.

KW - math.NT

KW - math.AG

KW - 11G10, 11G18, 14G35, 14C30, 14J10

UR - http://www.scopus.com/inward/record.url?scp=85153039778&partnerID=8YFLogxK

U2 - 10.1007/s00208-023-02614-w

DO - 10.1007/s00208-023-02614-w

M3 - Article

VL - 388

SP - 3847

EP - 3895

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

IS - 4

ER -