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.
Some remarks about deformation theory and formality conjecture / H. Chen, L. Pertusi, X. Zhao. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SCIENZE MATEMATICHE. - ISSN 1827-1510. - 70:(2024 Feb 14), pp. 761-779. [10.1007/s11565-024-00500-0]
Some remarks about deformation theory and formality conjecture
L. Pertusi
Penultimo
;
2024
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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