On p-integrality of instanton numbers

Frits Beukers; Masha Vlasenko

doi:10.4310/PAMQ.2023.v19.n1.a2

On p-integrality of instanton numbers

Frits Beukers, Masha Vlasenko

Institute of Mathematics of the Polish Academy of Sciences

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We show integrality of instanton numbers in several key examples of mirror symmetry. Our methods are essentially elemen-tary, they are based on our previous work in the series of papers called Dwork crystals I, II and III.

Original language	English
Pages (from-to)	7-44
Number of pages	38
Journal	Pure and Applied Mathematics Quarterly
Volume	19
Issue number	1
DOIs	https://doi.org/10.4310/PAMQ.2023.v19.n1.a2
Publication status	Published - 3 Apr 2023

Bibliographical note

Publisher Copyright:
© 2023, International Press, Inc.. All rights reserved.

Funding

Received September 21, 2021. 2010 Mathematics Subject Classification: Primary 14N35, 12H25; secondary 14F30. ∗Work of Frits Beukers was supported by the Netherlands Organisation for Scientific Research (NWO), grant TOP1EW.15.313. †Work of Masha Vlasenko was supported by the National Science Centre of Poland (NCN), grant UMO-2020/39/B/ST1/00940.

Funders	Funder number
Nederlandse Organisatie voor Wetenschappelijk Onderzoek	TOP1EW.15.313
Narodowe Centrum Nauki	UMO-2020/39/B/ST1/00940

Keywords

Frobenius structure
Instanton number
p-adic cohomology
Picard-Fuchs equation

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10.4310/PAMQ.2023.v19.n1.a2

PAMQ-2023-0019-0001-a002Final published version, 389 KBLicence: Taverne

Cite this

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On p-integrality of instanton numbers

Abstract

Bibliographical note

Funding

Keywords

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