An algebraic proof of Bogomolov-Tian-Todorov theorem

Donatella Iacono and Marco Manetti

A chapter in Deformation Spaces, 2010, pp 113-133 from Springer

Abstract: 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 ∞-algebra governing infinitesimal deformations of X is quasi-isomorphic to an abelian differential graded Lie algebra.

Keywords: Open Cover; Deformation Theory; Ahler Manifold; Canonical Bundle; Smooth Projective Variety (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-8348-9680-3_5

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

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