Deformations of Polystable Sheaves on Surfaces: Quadraticity Implies Formality

نویسندگان

چکیده

We study relations between the quadraticity of Kuranishi family a coherent sheaf on complex projective scheme and formality DG-Lie algebra its derived endomorphisms. In particular, we prove that for polystable smooth surface endomorphisms is formal if only quadratic.

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ژورنال

عنوان ژورنال: Moscow Mathematical Journal

سال: 2022

ISSN: ['1609-4514', '1609-3321']

DOI: https://doi.org/10.17323/1609-4514-2022-22-2-239-263