Conics on Gushel-Mukai fourfolds, EPW sextics and Bridgeland moduli spaces

2022/03/10 by Hanfei Guo, Zhiyu Liu, Guo, Hanfei +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2203.05442

Abstract

We identify the double dual EPW sextic \widetildeY_A^⊥ and the double EPW sextic \widetildeY_A, associated with a very general Gushel-Mukai fourfold X, with the Bridgeland moduli spaces of stable objects of character Λ₁ and Λ₂ in the Kuznetsov component Ku(X). This provides an affirmative answer to a question of Perry-Pertusi-Zhao. As an application, we prove a conjecture of Kuznetsov-Perry for very general Gushel-Mukai fourfolds.

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• EPW varieties as moduli spaces on ordinary GM surfaces and special GM threefolds

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