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arXiv · 1710.02102

The Kuga-Satake construction under degeneration

Stefan Schreieder·Andrey Soldatenkov
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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.

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Stefan Schreieder, Andrey Soldatenkov. 2017-10-05. The Kuga-Satake construction under degeneration. https://doi.org/10.1017/s1474748019000239

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