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arXiv · 2605.18245

Zero-cycles on Moduli Spaces of Twisted Sheaves and Applications to Double EPW Quartics

Carl Mazzanti
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Abstract

Chen, Li, Zhang, and Zhang extended the results of Shen, Yin, and Zhao on zero-cycles on moduli spaces of stable objects on $K3$ surfaces to the twisted setting. In this work, we complement this by extending results by Vial and Martin--Vial to moduli spaces on twisted $K3$ surfaces. Exploiting the fact that double EPW quartics can be realised as moduli spaces of twisted sheaves, we show that effective zero-cycles agree if and only if they agree in the associated Verra fourfold and show that the twisted Beauville--Voisin class of Chen, Li, Zhang, and Zhang agrees with the Beauville--Voisin class in that case.

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Carl Mazzanti. 2026-05-18. Zero-cycles on Moduli Spaces of Twisted Sheaves and Applications to Double EPW Quartics. https://arxiv.org/abs/2605.18245

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