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, Vol. 19, No. 6: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1474-7480
• Language: English