Derived categories of Gushel-Mukai surfaces and Fano fourfolds of K3 type

2025/11/25 by Prieto-Montañez, Yulieth, Selvaggi, Ian · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2511.20324

Abstract

We prove that very general, dual Gushel-Mukai surfaces are not isomorphic, though derived and L-equivalent. We use this result to study two semiorthogonal decompositions for a family of Fano fourfolds of K3 type, answering a question by Bernardara-Fatighenti-Manivel-Tanturri.

Citations

• Counterexamples to the Kuznetsov--Shinder L-equivalence conjecture
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Cited by

• L-equivalence and Fourier--Mukai partners of cubic fourfolds

Related

• Fano fourfolds of K3 type
• Mukai bundles on Fano threefolds
• Explicit computations with cubic fourfolds, Gushel-Mukai fourfolds, and their associated K3 surfaces
• Marked and labelled Gushel-Mukai fourfolds
• Bridgeland Moduli spaces for Gushel-Mukai threefolds and Kuznetsov's Fano threefold conjecture