Modular map for the family of abelian surfaces via elliptic K3 surfaces

Atsuhira Nagano, Hironori Shiga

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    In this paper we give explicit modular maps for the family of abelian surfaces and that of the abelian surfaces whose endomorphism algebra contains Z[1+5/2]. We obtain a description of the Shimura variety for the latter family, also. The notion of the family of K3 surfaces with a fixed marking plays a central role. As the basement of our study we use the expressions of those families given by Clingher-Doran, A. Nagano and the work of A. Kumar as well.

    Original languageEnglish
    Pages (from-to)89-114
    Number of pages26
    JournalMathematische Nachrichten
    Volume288
    Issue number1
    DOIs
    Publication statusPublished - 2015 Jan 1

    Fingerprint

    Abelian Surfaces
    Elliptic Surfaces
    K3 Surfaces
    Shimura Varieties
    Endomorphism
    Algebra
    Family

    Keywords

    • Abelian surfaces
    • Hilbert modular forms
    • K3 surfaces
    • Period domains
    • Theta constants

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Modular map for the family of abelian surfaces via elliptic K3 surfaces. / Nagano, Atsuhira; Shiga, Hironori.

    In: Mathematische Nachrichten, Vol. 288, No. 1, 01.01.2015, p. 89-114.

    Research output: Contribution to journalArticle

    Nagano, Atsuhira ; Shiga, Hironori. / Modular map for the family of abelian surfaces via elliptic K3 surfaces. In: Mathematische Nachrichten. 2015 ; Vol. 288, No. 1. pp. 89-114.
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