On derived equivalence of general Clifford double mirrors

TL;DR

This paper proves that general Clifford double mirrors, constructed in a specific toric geometry context, are derived equivalent, establishing a significant link between their geometric and algebraic properties.

Contribution

It demonstrates the derived equivalence of general Clifford double mirrors, extending previous work on their construction and properties.

Findings

Clifford double mirrors are derived equivalent.

The result applies to a broad class of toric complete intersections.

Supports the conjecture linking mirror symmetry and derived categories.

Abstract

We show that general Clifford double mirrors constructed in "On Clifford double mirrors of toric complete intersections" are derived equivalent.