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arXiv · 1804.05082

O'Grady's Birational Maps via Wall-hitting

Huachen Chen
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Abstract

We observe that O'Grady's birational maps between moduli of sheaves on an elliptic K3 surface can be interpreted as intermediate wall-crossing (wall-hitting) transformations at the so-called totally semistable walls, studied by Bayer and Macr\`i. As an ingredient to prove this observation, we describe the first totally semistable wall for ideal sheaves of $n$ points on the elliptic K3. We then use this observation to make a remark on Marian and Oprea's strange duality.

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Huachen Chen. 2018-04-13. O'Grady's Birational Maps via Wall-hitting. https://arxiv.org/abs/1804.05082

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