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arXiv · 0708.3917

Twisted support varieties

Petter Andreas Bergh
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Abstract

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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Petter Andreas Bergh. 2007-08-29. Twisted support varieties. https://arxiv.org/abs/0708.3917

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