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arXiv · 2605.14864

Spherical Twists for Gorenstein Orders and $G$-Hilb

Marina Godinho
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Abstract

This paper constructs derived autoequivalences of Gorenstein orders as twists around spherical functors. More precisely, given a Gorenstein order $A$ and a quotient $p \colon A \to B$, then we specify natural conditions on $B$ under which the twist around the corresponding derived restriction of scalars functor is a derived autoequivalence of $A$. In the process, we show that the associated cotwist is a shift of the Nakayama functor of $B$. These results, together with local-to-global technology, are then used construct new derived autoequivalences for skew group algebras and $G$-Hilbert schemes, and we apply this theory to explicit examples.

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Marina Godinho. 2026-05-14. Spherical Twists for Gorenstein Orders and $G$-Hilb. https://arxiv.org/abs/2605.14864

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