A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space

被引：42

作者：

Macri, Emanuele ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

来源：

ALGEBRA & NUMBER THEORY | 2014年 / 8卷 / 01期

基金：

美国国家科学基金会;

关键词：

Bridgeland stability conditions; derived category; Bogomolov-Gieseker inequality; STABILITY CONDITIONS;

D O I：

10.2140/ant.2014.8.173

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalized Bogomolov-Gieseker inequality for tilt-stable complexes on a smooth projective threefold was conjectured by Bayer, Toda, and the author. We show that such inequality holds true in general if it holds true when the polarization is sufficiently small. As an application, we prove it for the threedimensional projective space.

引用

页码：173 / 190

页数：18