arXiv:1802.07203 Abstract | arXiv Analytics

arXiv:1802.07203 [math.AG]Abstract References Reviews Resources

Endomorphisms of Koszul complexes: formality and application to deformation theory

Published 2018-02-20Version 1

We study the differential graded Lie algebra of endomorphisms of the Koszul resolution of a regular sequence on a unitary commutative $\K$-algebra $R$ and we prove that it is homotopy abelian over $\K$, while it is generally not formal over $R$. We apply this result to prove an annihilation theorem for obstructions of (derived) deformations of locally complete intersection ideal sheaves on projective schemes.

Categories: math.AG, math.QA

Subjects: 17B70, 14D15, 18G50, 13D10

Keywords: deformation theory, koszul complexes, endomorphisms, locally complete intersection ideal sheaves, application

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