Birational Geometry of the Moduli Space of Rank 2 Parabolic Vector Bundles on a Rational Curve

被引：5

作者：

Moon, Han-Bom ^{[1
]}

Yoo, Sang-Bum ^{[2
]}

机构：

[1] Fordham Univ, Dept Math, Bronx, NY 10458 USA

[2] POSTECH, Dept Math, Pohang 790784, Gyungbuk, South Korea

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 03期

关键词：

VARIETIES; POINTS;

D O I：

10.1093/imrn/rnv154

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the birational geometry (in the sense of Mori's program) of the moduli space of rank 2 semistable parabolic vector bundles on a rational curve. We compute the effective cone of the moduli space and show that all birational models obtained by Mori's program are also moduli spaces of parabolic vector bundles with certain parabolic weights.

引用

页码：827 / 859

页数：33

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