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Birational geometry of the moduli space of pure sheaves on quadric surface
Authors:Kiryong Chung  Han-Bom Moon
Institution:1. Department of Mathematics Education, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea;2. School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, United States
Abstract:We study birational geometry of the moduli space of stable sheaves on a quadric surface with Hilbert polynomial 5m+1 and c1=(2,3). We describe a birational map between the moduli space and a projective bundle over a Grassmannian as a composition of smooth blow-ups/downs.
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