An algebraic proof of Bogomolov-Tian-Todorov theorem

Details An algebraic proof of Bogomolov-Tian-Todorov theorem An algebraic proof of Bogomolov-Tian-Todorov theorem

2009-02-04

arxiv.org/abs/0902.0732v2

Deformation spaces, Vieweg Aspects Math. (2010) 113-133

Mathematics

Algebraic Geometry

20 pages, amsproc

Scientific paper

10.1007/978-3-8348-9680-3_5

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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