Work

Some remarks about deformation theory and formality conjecture

Year: 2024

Type: article

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.

Source: ANNALI DELL UNIVERSITA DI FERRARA

DOI: 10.1007/s11565-024-00500-0

Authors: Huachen Chen, Laura Pertusi, Xiaolei Zhao

Institutions: University of California, Santa Barbara, University of Milan

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990