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On the abstract Bogomolov-Tian-Todorov Theorem

Algebraic Geometry 2022-07-29 v2

Abstract

We describe an abstract version of the Theorem of Bogomolov-Tian-Todorov, whose underlying idea is already contained in various papers by Bandiera, Fiorenza, Iacono, Manetti. More explicitly, we prove an algebraic criterion for a differential graded Lie algebras to be homotopy abelian. Then, we collect together many examples and applications in deformation theory and other settings.

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Cite

@article{arxiv.1711.11474,
  title  = {On the abstract Bogomolov-Tian-Todorov Theorem},
  author = {Donatella Iacono},
  journal= {arXiv preprint arXiv:1711.11474},
  year   = {2022}
}

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v2 Reference updated