Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 2019, Volume 210, Issue 12, Pages 1702–1723
DOI: https://doi.org/10.1070/SM9241 (Mi sm9241) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Antisymmetric paramodular forms of weight 3

V. A. Gritsenkoab, H. Wanga

a Laboratoire Paul Painlevé, Université de Lille, Villeneuve d’Ascq, France
b National Research University Higher School of Economics, Moscow, Russia
English version PDF (608 kB) Citations (2) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM9241
Abstract: The problem of the construction of antisymmetric paramodular forms of canonical weight 3 has been open since 1996. Any cusp form of this type determines a canonical differential form on any smooth compactification of the moduli space of Kummer surfaces associated to $(1,t)$-polarised abelian surfaces. In this paper, we construct the first infinite family of antisymmetric paramodular forms of weight $3$ as automorphic Borcherds products whose first Fourier-Jacobi coefficient is a theta block.
Bibliography: 32 titles.
Keywords: Siegel modular forms, automorphic Borcherds products, theta functions and Jacobi forms, moduli space of abelian and Kummer surfaces, affine Lie algebras and hyperbolic Lie algebras.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.641.31.0001
Labex ANR-11- LABX-0007-01
V. A. Gritsenko was supported by the Laboratory of Mirror Symmetry, NRU HSE, RF government grant, agreement no. 14.641.31.0001. H. Wang was supported by the Laboratory of Mirror Symmetry, NRU HSE, RF government grant, agreement no. 14.641.31.0001, and by Labex CEMPI, Université de Lillé (grant no. ANR-11-LABX-0007-01).
Received: 20.02.2019 and 10.07.2019
Bibliographic databases:
Document Type: Article
UDC: 515.178.5+512.774.5+512.818.4
MSC: 11F27, 11F30, 11F46, 11F50, 11F55, 14K25
Language: English
Original paper language: Russian
Citation: V. A. Gritsenko, H. Wang, “Antisymmetric paramodular forms of weight 3”, Sb. Math., 210:12 (2019), 1702–1723
Citation in format AMSBIB
\Bibitem{GriWan19}
\by V.~A.~Gritsenko, H.~Wang
\paper Antisymmetric paramodular forms of weight~3
\jour Sb. Math.
\yr 2019
\vol 210
\issue 12
\pages 1702--1723
\mathnet{http://mi.mathnet.ru//eng/sm9241}
\crossref{https://doi.org/10.1070/SM9241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4036807}
\zmath{https://zbmath.org/?q=an:1432.11045}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000517124100001}
\elib{https://elibrary.ru/item.asp?id=43293259}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085312021}
Linking options:
  • https://www.mathnet.ru/eng/sm9241
  • https://doi.org/10.1070/SM9241
  • https://www.mathnet.ru/eng/sm/v210/i12/p43
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024