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Moduli spaces of stable sheaves over quasipolarized K3 surfaces, and Strange Duality

Algebraic Geometry Seminar

Moduli spaces of stable sheaves over quasipolarized K3 surfaces, and Strange Duality

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Svetlana Makarova, University of Pennsylvania

Zoom link:  https://princeton.zoom.us/j/91248028438

In this talk, I will show a construction of relative moduli spaces of stable sheaves over the stack of quasipolarized K3 surfaces of degree two. For this, we use the theory of good moduli spaces, whose study was initiated by Alper. As a corollary, we obtain the generic Strange Duality for K3 surfaces of degree two, extending the results of Marian and Oprea on the generic Strange Duality for K3 surfaces.