Birational geometry of the moduli space of pure sheaves on quadric surface期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Kiryong Chung Han-Bom Moon

Affiliation:	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 $5 m + 1$ and $c_{1} = (2, 3)$ . 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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