AN APPLICATION OF WALL-CROSSING TO NOETHER-LEFSCHETZ LOCI

被引：7

作者：

Feyzbakhsh, S. ^{[1
]}

Thomas, R. P. ^{[1
]}

Voisin, C. ^{[2
]}

机构：

[1] Imperial Coll, Dept Math, London SW7 2AZ, England

[2] Coll France, 3 Rue Ulm, F-75005 Paris, France

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2021年 / 72卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

BOGOMOLOV-GIESEKER INEQUALITY; STABILITY CONDITIONS; THREEFOLDS; CURVES;

D O I：

10.1093/qmathj/haaa022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider a smooth projective 3-fold X satisfying the Bogomolov-Gieseker conjecture of Bayer-Macri-Toda (such as P-3, the quintic 3-fold or an abelian 3-fold). Let L be a line bundle supported on a very positive surface in X. If c(1)(L) is a primitive cohomology class, then we show it has very negative square.

引用

页码：51 / 70

页数：20

共 19 条

[1] The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds [J].