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 | |
| State | Published - Jan 1 2015 |
| Externally published | Yes |
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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 journal › Article
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TY - JOUR
T1 - Families of Lattice Polarized K3 Surfaces with Monodromy
AU - Doran, Charles F.
AU - Harder, Andrew
AU - Novoseltsev, Andrey Y.
AU - Thompson, Alan
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=84950126151&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84950126151&partnerID=8YFLogxK
U2 - 10.1093/imrn/rnv071
DO - 10.1093/imrn/rnv071
M3 - Article
VL - 2015
SP - 12265
EP - 12318
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 23
ER -