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Schreieder, Stefan; 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
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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 with polarized variations of K3 type Hodge structures over the punctured disc.