THE KUGA-SATAKE CONSTRUCTION UNDER DEGENERATION

Schreieder, Stefan und Soldatenkov, Andrey (2020): THE KUGA-SATAKE CONSTRUCTION UNDER DEGENERATION. In: Journal of the Institute of Mathematics of Jussieu, Bd. 19, Nr. 6: S. 2165-2182

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 with polarized variations of K3 type Hodge structures over the punctured disc.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1474-7480
• Sprache: Englisch