MODULI OF PT-SEMISTABLE OBJECTS II

被引：9

作者：

Lo, Jason ^{[1
]}

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 365卷 / 09期

关键词：

PT-stability; semistable reduction; derived category; moduli; valuative criterion; VALUATIVE CRITERIA; T-STRUCTURES; SHEAVES; COMPLEXES; FAMILIES; LIMIT;

D O I：

10.1090/S0002-9947-2013-05622-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalise the techniques of semistable reduction for flat families of sheaves to the setting of the derived category D-b(X) of coherent sheaves on a smooth projective three-fold X. Then we construct the moduli of PT-semistable objects in D-b(X) as an Artin stack of finite type that is universally closed. In the absence of strictly semistable objects, we construct the moduli as a proper algebraic space of finite type.

引用

页码：4539 / 4573

页数：35

共 23 条

[1] Abramovich D, 2006, J REINE ANGEW MATH, V590, P89
[2] Arcara D., ARXIV07082247V1MATHA
[3] Polynomial Bridgeland stability conditions and the large volume limit
Bayer, Arend
[J]. GEOMETRY & TOPOLOGY, 2009, 13 : 2389 - 2425
[4] Bondal A, 2003, MOSC MATH J, V3, P1
[5] Gelfand Sergei I., 1996, METHODS HOMOLOGICAL
[6] Happel D., 1996, Memoirs of the American Mathematical Society, V120, P575
[7] Huybrechts D., 2006, Oxford Mathematical Monographs
[8] Huybrechts D., 1997, ASPECTS MATH E, V31
[9] Toward a definition of moduli of complexes of coherent sheaves on a projective scheme
Inaba, M
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2002, 42 (02): : 317 - 329
[10] Kashiwara KS1] Masaki, 1990, Sheaves on manifolds, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], V292

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