Equivalences of families of stacky toric Calabi-Yau hypersurfaces
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Doran, Charles F
Favero, David
Kelly, Tyler L
Abstract
Given the same anti-canonical linear system on two distinct toric varieties, we provide a derived equivalence between partial crepant resolutions of the corresponding stacky hypersurfaces. The applications include: a derived unification of toric mirror constructions, calculations of Picard lattices for linear systems of quartics in
Description
Keywords
4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
Proceedings of the American Mathematical Society
Conference Name
Journal ISSN
0002-9939
1088-6826
1088-6826
Volume Title
146
Publisher
American Mathematical Society (AMS)
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/N004922/1)
The first author was supported by NSERC, PIMS, and a McCalla professorship at the University of Alberta. The second author was supported by NSERC through a Discovery Grant and as a Canada Research Chair. The third author was supported in part by NSF Grant # DMS-1401446 and EPSRC Grant EP/N004922/1.