The Kuga-Satake construction under degeneration

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.

arXiv comment16 pages; to appear in J. Inst. Math. Jussieu