The automorphism group of the derived category for a weighted projective line
作者:
Helmut Lenzing,
Hagen Meltzer,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 4
页码: 1685-1700
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008826922
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
We show that up to a translation each automorphism of the derived categoryDbXof coherent sheaves on a weighted projective line X, equiv-alently of the derived categoryDbAof finite dimensional modules over a derived canonical algebraA, is composed of tubular mutations and automorphisms of X. In the case of genus one this implies that the automorphism group is a semi-direct product of the braid group on three strands by a finite group.
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