Families of Lattice Polarized K3 Surfaces with Monodromy

Charles F. Doran; Andrew Harder; Andrey Y. Novoseltsev; Alan Thompson

doi:10.1093/imrn/rnv071

Families of Lattice Polarized K3 Surfaces with Monodromy

Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev, Alan Thompson

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 three-folds admitting fibrations by lattice polarized K3 surfaces.

Original language	English (US)
Pages (from-to)	12265-12318
Number of pages	54
Journal	International Mathematics Research Notices
Volume	2015
Issue number	23
DOIs	https://doi.org/10.1093/imrn/rnv071
State	Published - 2015
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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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 three-folds admitting fibrations by lattice polarized K3 surfaces.",

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AU - Novoseltsev, Andrey Y.

AU - Thompson, Alan

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AB - 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 three-folds admitting fibrations by lattice polarized K3 surfaces.

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Families of Lattice Polarized K3 Surfaces with Monodromy

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