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arXiv · 0902.0732

An algebraic proof of Bogomolov-Tian-Todorov theorem

Donatella Iacono·Marco Manetti
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Abstract

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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Donatella Iacono, Marco Manetti. 2009-02-04. An algebraic proof of Bogomolov-Tian-Todorov theorem. https://doi.org/10.1007/978-3-8348-9680-3_5

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