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A twist on ring morphisms and crepant contractions

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abstract

Given a ring morphism, this paper constructs the twist functor around the induced derived restriction of scalars functor. We prove that the twist around ring morphisms is a derived autoequivalence in the setting of twists induced by Frobenius exact categories. As a corollary, it is shown that the noncommutative twist introduced by Donovan and Wemyss is in fact a spherical twist around the restriction of scalars functor. We then use this technology to obtain new spherical twists for singular schemes, and discuss how our result extends previous works on spherical twists induced by crepant contractions.

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math.RT 1

years

2026 1

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UNVERDICTED 1

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Spherical Twists for Gorenstein Orders and $G$-Hilb

math.RT · 2026-05-14 · unverdicted · novelty 7.0

Constructs derived autoequivalences of Gorenstein orders as spherical twists around derived restriction functors and applies the results to G-Hilbert schemes.

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  • Spherical Twists for Gorenstein Orders and $G$-Hilb math.RT · 2026-05-14 · unverdicted · none · ref 7 · internal anchor

    Constructs derived autoequivalences of Gorenstein orders as spherical twists around derived restriction functors and applies the results to G-Hilbert schemes.