The Kuga-Satake construction under degeneration
Algebraic Geometry
2020-11-30 v3
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.
Keywords
Cite
@article{arxiv.1710.02102,
title = {The Kuga-Satake construction under degeneration},
author = {Stefan Schreieder and Andrey Soldatenkov},
journal= {arXiv preprint arXiv:1710.02102},
year = {2020}
}
Comments
16 pages; to appear in J. Inst. Math. Jussieu