Families of lattice polarized K3 surfaces with monodromy
journal contribution
posted on 2018-10-08, 13:10 authored by Charles F. Doran, Andrew Harder, A.Y. Novoseltsev, Alan ThompsonAlan ThompsonWe 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.
Funding
C. F. D. and A. Y. N. were supported by the Natural Sciences and Engineering Resource Council of Canada (NSERC); the Pacific Institute for the Mathematical Sciences (PIMS); and the McCalla Professorship at the University of Alberta. A.H. was supported by an NSERC PGS D scholarship and a University of Alberta Doctoral Recruitment Scholarship. A.T. was supported in part by NSERC and in part by a Fields-Ontario-PIMS Postdoctoral Fellowship with funding provided by NSERC; the Ontario Ministry of Training, Colleges and Universities; and an Alberta Advanced Education and Technology Grant.
History
School
- Science
Department
- Mathematical Sciences
Published in
International Mathematics Research NoticesVolume
2015Pages
12265 - 12318Citation
DORAN, C.F. ... et al., 2015. Families of lattice polarized K3 surfaces with monodromy. International Mathematics Research Notices, 2015(23), pp. 12265-12318.Publisher
© The Authors. Published by Oxford University PressVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2015-02-12Publication date
2015Notes
This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record DORAN, C.F. ... et al., 2015. Families of lattice polarized K3 surfaces with monodromy. International Mathematics Research Notices, 2015(23), pp. 12265-12318 is available online at https://doi.org/10.1093/imrn/rnv071ISSN
1073-7928eISSN
1687-0247Publisher version
Language
- en
