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.
Publié le : 2010-04-15
Classification:
moduli,
triangulated category,
14D20,
18E30
@article{1273236710,
author = {INABA, Michi-aki},
title = {Moduli of stable objects in a triangulated category},
journal = {J. Math. Soc. Japan},
volume = {62},
number = {1},
year = {2010},
pages = { 395-429},
language = {en},
url = {http://dml.mathdoc.fr/item/1273236710}
}
INABA, Michi-aki. Moduli of stable objects in a triangulated category. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp. 395-429. http://gdmltest.u-ga.fr/item/1273236710/