Derived categories of irreducible projective curves of arithmetic genus one

Burban  I; Kreussler  B

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Derived categories of irreducible projective curves of arithmetic genus one

机译：Derived categories of irreducible projective curves of arithmetic genus one

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摘要

We investigate the bounded derived category of coherent sheaves on irreducible singular projective curves of arithmetic genus one. A description of the group of exact autoequivalences and the set of all t-structures of this category is given. We describe the moduli space of stability conditions, obtain a complete classification of all spherical objects in this category and show that the group of exact auto-equivalences acts transitively on them. Harder-Narasimhan filtrations in the sense of Bridgeland are used as our main technical tool.

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《Compositio mathematica》 |2006年第5期|1231-1262|共32页
作者
Burban I; Kreussler B;
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作者单位

Univ Mainz, Fachbereich Phys Math & Informat, Inst Math, D-55099 Mainz, Germany;

Mary Immaculate Coll, Limerick, Ireland;

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正文语种英语
中图分类组合数学（组合学）;
关键词
derived category; elliptic curve; Fourier-Mukai transform; Harder-Narasimhan filtration; stability; VECTOR-BUNDLES; NONCOMMUTATIVE 2-TORI; COHERENT SHEAVES; ELLIPTIC CURVE;

Derived categories of irreducible projective curves of arithmetic genus one

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