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arXiv · 2511.20324

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

Yulieth Prieto-Montañez·Ian Selvaggi
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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.

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Yulieth Prieto-Montañez, Ian Selvaggi. 2025-11-25. Derived categories of Gushel-Mukai surfaces and Fano fourfolds of K3 type. https://arxiv.org/abs/2511.20324

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