On the period of Li, Pertusi and Zhao's symplectic variety

Published 28 Feb 2022 in math.AG | (2202.13702v2)

Abstract: We extend classical results of Perego and Rapagnetta on moduli spaces of sheaves of type OG10 to moduli spaces of Bridgeland semistable objects on the Kuznetsov component of a cubic fourfold. In particular, we determine the period of this class of varieties and use it to understand when they become birational to moduli spaces of sheaves on a K3 surface.

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