Birational geometry of the moduli space of pure sheaves on quadric\n surface

2017/03/01 by Kiryong Chung, Chung, Kiryong, Han‐Bom Moon +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1703.00230

Abstract

We study birational geometry of the moduli space of stable sheaves on a\nquadric surface with Hilbert polynomial 5m + 1 and c₁ = (2, 3). We\ndescribe a birational map between the moduli space and a projective bundle over\na Grassmannian as a composition of smooth blow-ups/downs.\n

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