Derived invariance of support varieties
Julian K\"ulshammer, Chrysostomos Psaroudakis, {\O}ystein, Skarts{\ae}terhagen
TL;DR
This paper proves that the (Fg) condition on Hochschild cohomology and the associated support variety theory remain unchanged under derived equivalences, highlighting their invariance properties.
Contribution
It establishes the invariance of support varieties and the (Fg) condition under derived equivalences, advancing understanding of their stability in algebraic contexts.
Findings
Support varieties are invariant under derived equivalence.
The (Fg) condition on Hochschild cohomology is preserved.
Provides new insights into the stability of algebraic invariants.
Abstract
The (Fg) condition on Hochschild cohomology as well as the support variety theory are shown to be invariant under derived equivalence.
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