Open Access
April, 2010 Moduli of stable objects in a triangulated category
Michi-aki INABA
J. Math. Soc. Japan 62(2): 395-429 (April, 2010). DOI: 10.2969/jmsj/06220395


We introduce the concept of strict ample sequence in a fibered triangulated category and define the stability of the objects in a triangulated category. Then we construct the moduli space of (semi) stable objects by GIT construction.


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Michi-aki INABA. "Moduli of stable objects in a triangulated category." J. Math. Soc. Japan 62 (2) 395 - 429, April, 2010.


Published: April, 2010
First available in Project Euclid: 7 May 2010

zbMATH: 1197.14008
MathSciNet: MR2662850
Digital Object Identifier: 10.2969/jmsj/06220395

Primary: 14D20 , 18E30

Keywords: moduli , triangulated category

Rights: Copyright © 2010 Mathematical Society of Japan

Vol.62 • No. 2 • April, 2010
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