1998/10/07 by Ziv Ran, Ran, Ziv
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.math/9810041
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arxiv created 1998/10/07 · arxiv updated 2009/11/30
This paper gives a canonical construction, in terms of additive cohomological functors, of the universal formal deformation of a compact complex manifold without vector fields (more generally of a faithful g-module, where g is a sheaf of Lie algebras without sections). The construction is based on a certain (multivariate) Jacobi complex J(g) associatd to g: indeed \mathbb C⊕ \mathbb H0(J(g))^* is precisely the base ring of the universal deformation.