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Families of lattice polarized K3 surfaces with monodromy

Authors
  • Doran, Charles F.
  • Harder, Andrew
  • Novoseltsev, Andrey Y.
  • Thompson, Alan
Type
Published Article
Publication Date
Dec 22, 2013
Submission Date
Dec 22, 2013
Identifiers
DOI: 10.1093/imrn/rnv071
Source
arXiv
License
Yellow
External links

Abstract

We extend the notion of lattice polarization for K3 surfaces to families over a (not necessarily simply connected) base, in a way that gives control over the action of monodromy on the algebraic cycles, and discuss the uses of this new theory in the study of families of K3 surfaces admitting fibrewise symplectic automorphisms. We then give an application of these ideas to the study of Calabi-Yau threefolds admitting fibrations by lattice polarized K3 surfaces.

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