Families of Lattice Polarized K3 Surfaces with Monodromy

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

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)12265-12318
Number of pages54
JournalInternational Mathematics Research Notices
Volume2015
Issue number23
DOIs
StatePublished - Jan 1 2015
Externally publishedYes

Fingerprint

K3 Surfaces
Monodromy
Algebraic Cycles
Calabi-Yau Threefolds
Fibration
Automorphisms
Polarization
Family

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Families of Lattice Polarized K3 Surfaces with Monodromy. / Doran, Charles F.; Harder, Andrew; Novoseltsev, Andrey Y.; Thompson, Alan.

In: International Mathematics Research Notices, Vol. 2015, No. 23, 01.01.2015, p. 12265-12318.

Research output: Contribution to journalArticle

Doran, Charles F. ; Harder, Andrew ; Novoseltsev, Andrey Y. ; Thompson, Alan. / Families of Lattice Polarized K3 Surfaces with Monodromy. In: International Mathematics Research Notices. 2015 ; Vol. 2015, No. 23. pp. 12265-12318.
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