AN APPLICATION OF WALL-CROSSING TO NOETHER-LEFSCHETZ LOCI

被引：6
|
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.
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页码：51 / 70
页数：20
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