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Normal differential operators and deformation theory

1998/11/30 by Paul Burchard, Burchard, Paul, Herb Clemens +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9811171

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arxiv created 1998/11/30 · arxiv updated 2009/11/30

Abstract

This paper develops the theory of a sheaf of normal differential operators to a submanifold Y of a complex manifold X as a generalization of the normal bundle. We show that the global sections of this sheaf play an analogous role for formal deformations of Y to the role played by the normal bundle with respect to first-order deformations.

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