Some remarks about deformation theory and formality conjecture
Algebraic Geometry
2024-02-12 v1
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.
Cite
@article{arxiv.2402.06579,
title = {Some remarks about deformation theory and formality conjecture},
author = {Huachen Chen and Laura Pertusi and Xiaolei Zhao},
journal= {arXiv preprint arXiv:2402.06579},
year = {2024}
}
Comments
15 pages, to appear in Annali dell'Universit\`a di Ferrara, special volume Edge Days: 2018-2022