The Kuga-Satake construction under degeneration

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

Authors

  • Stefan Schreieder
  • Andrey Soldatenkov

External Research Organisations

  • Ludwig-Maximilians-Universität München (LMU)
  • Humboldt-Universität zu Berlin (HU Berlin)
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Details

Original languageEnglish
Pages (from-to)2165-2182
Number of pages18
JournalJournal of the Institute of Mathematics of Jussieu
Volume19
Issue number6
Publication statusPublished - 1 Nov 2020
Externally publishedYes

Abstract

We extend the Kuga-Satake construction to the case of limit mixed Hodge structures of K3 type. We use this to study the geometry and Hodge theory of degenerations of Kuga-Satake abelian varieties, associated to polarized variations of K3 type Hodge structures over the punctured disc.

Keywords

    abelian variety, Hodge structure, K3 surface, limit mixed Hodge structure, 2010 Mathematics subject classification: 14D06 14D07 14D05

ASJC Scopus subject areas

Cite this

The Kuga-Satake construction under degeneration. / Schreieder, Stefan; Soldatenkov, Andrey.
In: Journal of the Institute of Mathematics of Jussieu, Vol. 19, No. 6, 01.11.2020, p. 2165-2182.

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

Schreieder S, Soldatenkov A. The Kuga-Satake construction under degeneration. Journal of the Institute of Mathematics of Jussieu. 2020 Nov 1;19(6):2165-2182. doi: 10.1017/S1474748019000239
Schreieder, Stefan ; Soldatenkov, Andrey. / The Kuga-Satake construction under degeneration. In: Journal of the Institute of Mathematics of Jussieu. 2020 ; Vol. 19, No. 6. pp. 2165-2182.
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