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arXiv · 2103.16417

Strange Duality for elliptic surfaces

Svetlana Makarova
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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.

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Svetlana Makarova. 2021-03-30. Strange Duality for elliptic surfaces. https://arxiv.org/abs/2103.16417

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