We study relations between the quadraticity of the Kuranishi family of a coherent sheaf on a complex projective scheme and the formality of the DG-Lie algebra of its derived endomorphisms. In particular, we prove that for a polystable coherent sheaf of a smooth complex projective surface the DG-Lie algebra of derived endomorphisms is forif if
DEFORMATIONS OF POLYSTABLE SHEAVES ON SURFACES: QUADRATICITY IMPLIES FORMALITY / Bandiera, R; Manetti, M; Meazzini, F. - In: MOSCOW MATHEMATICAL JOURNAL. - ISSN 1609-3321. - 22:2(2022), pp. 239-263. [10.17323/1609-4514-2022-22-2-239-263]
DEFORMATIONS OF POLYSTABLE SHEAVES ON SURFACES: QUADRATICITY IMPLIES FORMALITY
Bandiera, R;Manetti, M
;Meazzini, F
2022
Abstract
We study relations between the quadraticity of the Kuranishi family of a coherent sheaf on a complex projective scheme and the formality of the DG-Lie algebra of its derived endomorphisms. In particular, we prove that for a polystable coherent sheaf of a smooth complex projective surface the DG-Lie algebra of derived endomorphisms is forif ifFile allegati a questo prodotto
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