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An algebraic proof of Bogomolov-Tian-Todorov theorem

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arxiv 0902.0732 v2 pith:BRXY2ISB submitted 2009-02-04 math.AG

Donatella Iacono , Marco Manetti This is my paper · ORCID
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keywords algebraalgebraicbogomolov-tian-todorovprooftheoremabelianalgebraicallybundle
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We give a completely algebraic proof of the Bogomolov-Tian-Todorov theorem. More precisely, we shall prove that if X is a smooth projective variety with trivial canonical bundle defined over an algebraically closed field of characteristic 0, then the L-infinity algebra governing infinitesimal deformations of X is quasi-isomorphic to an abelian differential graded Lie algebra.

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  1. Some examples of DG-Lie formality transfer

    math.RA 2026-01 accept novelty 6.0 of 10

    A DG-Lie formality-transfer theorem is extended with a new backward direction and applied to universal enveloping algebras and finite quotients of Kodaira-Spencer algebras.

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