An algebraic proof of Bogomolov-Tian-Todorov theorem
Algebraic Geometry
2016-02-17 v2
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.
Keywords
Cite
@article{arxiv.0902.0732,
title = {An algebraic proof of Bogomolov-Tian-Todorov theorem},
author = {Donatella Iacono and Marco Manetti},
journal= {arXiv preprint arXiv:0902.0732},
year = {2016}
}
Comments
20 pages, amsproc