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Normal Differential Operators and Deformation Theory

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Recent Progress in Intersection Theory

Part of the book series: Trends in Mathematics ((TM))

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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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© 2000 Springer Science+Business Media New York

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Burchard, P., Clemens, H. (2000). Normal Differential Operators and Deformation Theory. In: Ellingsrud, G., Fulton, W., Vistoli, A. (eds) Recent Progress in Intersection Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1316-1_2

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  • DOI: https://doi.org/10.1007/978-1-4612-1316-1_2

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7090-4

  • Online ISBN: 978-1-4612-1316-1

  • eBook Packages: Springer Book Archive

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