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Start Over Author "Hirokazu Nasu" Publisher american mathematical society (ams)
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1. Obstructions to deforming curves on a 3-fold, I: A generalization of Mumfordโ€™s example and an application to ๐ป๐‘œ๐‘š schemes

Author

Shigeru Mukai and Hirokazu Nasu

Subjects
Discrete mathematics, Algebra and Number Theory, MathematicsofComputing_GENERAL, Geometry and Topology, Fold (geology), Mathematics
Abstract

We give a sufficient condition for a first order infinitesimal deformation of a curve on a 3 3 -fold to be obstructed. As application we construct generically non-reduced components of the Hilbert schemes of uniruled 3 3 -folds and the Hom scheme from a general curve of genus five to a general cubic 3 3 -fold.

Published
2008
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