Strange Duality for elliptic surfaces
Algebraic Geometry
2021-03-31 v1
Abstract
The main result of the present paper is the proof of the Strange Duality for elliptic surfaces -- a duality between global sections of determinantal line bundles on moduli spaces of stable sheaves on a fixed elliptic surface. For this, we employ the "Marian-Oprea trick": using Bridgeland's birational isomorphisms, we reduce the problem from a pair of general moduli spaces to a pair of Hilbert schemes. The latter case is a theorem by Marian-Oprea.
Cite
@article{arxiv.2103.16417,
title = {Strange Duality for elliptic surfaces},
author = {Svetlana Makarova},
journal= {arXiv preprint arXiv:2103.16417},
year = {2021}
}
Comments
22 pages; comments welcome; part of the author's PhD thesis