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arXiv · 2402.06579

Some remarks about deformation theory and formality conjecture

Huachen Chen·Laura Pertusi·Xiaolei Zhao
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Abstract

Using the algebraic criterion proved by Bandiera, Manetti and Meazzini, we show the formality conjecture for universally gluable objects with linearly reductive automorphism groups in the bounded derived category of a K3 surface. As an application, we prove the formality conjecture for polystable objects in the Kuznetsov components of Gushel--Mukai threefolds and quartic double solids.

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Huachen Chen, Laura Pertusi, Xiaolei Zhao. 2024-02-09. Some remarks about deformation theory and formality conjecture. https://arxiv.org/abs/2402.06579

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