Twisted derived equivalences for affine schemes
Benjamin Antieau
TL;DR
This paper determines the precise conditions under which two twisted affine schemes are derived equivalent, building on the foundational work of Rickard and To"en.
Contribution
It provides a complete characterization of derived equivalences for twisted affine schemes, extending previous theoretical frameworks.
Findings
Characterization of derived equivalences for twisted affine schemes
Extension of Rickard and To"en's work to new classes of schemes
Resolution of a longstanding question in algebraic geometry
Abstract
We show how work of Rickard and To\"en completely resolves the question of when two twisted affine schemes are derived equivalent.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology