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An algebraic proof of Bogomolov-Tian-Todorov theorem

  • Chapter
Deformation Spaces

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.

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Authors
  1. Donatella Iacono
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  2. Marco Manetti
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Editor information

Editors and Affiliations

  1. Département de mathématiques, Université de Nantes, 2, rue de la Houssinière - BP 92208, 44322, Nantes Cedex 3, France

    Hossein Abbaspour

  2. Mathematics Department, California Institute of Technology, 1200 E.California Blvd., Pasadena, CA, 91125, USA

    Matilde Marcolli

  3. Department of Mathematics N-711, New York City College of Technology, 300 Jay Street, Brooklyn, NY, 11201, USA

    Thomas Tradler

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Iacono, D., Manetti, M. (2010). An algebraic proof of Bogomolov-Tian-Todorov theorem. In: Abbaspour, H., Marcolli, M., Tradler, T. (eds) Deformation Spaces. Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-9680-3_5

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