Some remarks about deformation theory and formality conjecture

Some remarks about deformation theory and formality conjecture

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 ob...

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Veröffentlicht in:Annali dell'Università di Ferrara. Sezione 7. Scienze matematiche 2024, Vol.70 (3), p.761-779
Hauptverfasser: Chen, Huachen, Pertusi, Laura, Zhao, Xiaolei
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Analysis
Automorphisms
Geometry
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Numerical Analysis
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Zusammenfassung: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.
ISSN:0430-3202
1827-1510
1827-1510
DOI:10.1007/s11565-024-00500-0