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

作者：Chung Kiryong^*; Moon Han Bom

来源：Comptes Rendus Mathematique, 2017, 355(10): 1082-1088.

DOI：10.1016/j.crma.2017.09.005

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.

• 出版日期2017-10