Normal differential operators and deformation theory
Algebraic Geometry
2007-05-23 v1
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.
Cite
@article{arxiv.math/9811171,
title = {Normal differential operators and deformation theory},
author = {Paul Burchard and Herb Clemens},
journal= {arXiv preprint arXiv:math/9811171},
year = {2007}
}
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