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ATOMIC OBJECTS ON HYPER-KAHLER MANIFOLDS

被引：0
|
作者：
Beckmann, Thorsten [1 ]
机构：
[1] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
来源：
JOURNAL OF ALGEBRAIC GEOMETRY | 2024年
关键词：
COMPACT HYPERKAHLER MANIFOLDS; MODULI SPACES; K3; SURFACES; FORMALITY; SHEAVES; SINGULARITIES; EQUIVALENCES; DEFORMATIONS; CONJECTURE; COHOMOLOGY;
D O I：
10.1090/jag/830
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and study the notion of atomic sheaves and complexes on higher-dimensional hyper-K & auml;hler manifolds and show that they share many of the intriguing properties of simple sheaves on K3 surfaces. For example, we prove formality of the dg algebra of derived endomorphisms for stable atomic bundles. We further demonstrate the characteristics of atomic objects by studying atomic Lagrangian submanifolds. In the appendix, we prove nonexistence results for spherical objects on hyperKa<spacing diaeresis>hler manifolds.
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页数：52
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