Twisted support varieties

Details Twisted support varieties Twisted support varieties

2007-08-29

arxiv.org/abs/0708.3917v1

Mathematics

Rings and Algebras

22 pages, to appear in J. Pure Appl. Algebra

Scientific paper

We define and study twisted support varieties for modules over an Artin algebra, where the twist is induced by an automorphism of the algebra. Under a certain finite generation hypothesis, we show that the twisted variety of a module satisfies Dade's Lemma and is one dimensional precisely when the module is periodic with respect to the twisting automorphism. As a special case we obtain results on DTr-periodic modules over Frobenius algebras.

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