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arXiv:math/0302006 [math.AG]AbstractReferencesReviewsResources

Morphisms from Quintic Threefolds to Cubic Threefolds are Constant

David Sheppard

Published 2003-01-31Version 1

We show that every morphism from a degree 5 hypersurface in 4-dimensional projective space to a nonsingular degree 3 hypersurface in 4-dimensional projective space is necessarily constant. In the process, we also classify morphisms from the projective plane to nonsingular cubic threefolds given by degree 3 polynomials.

Comments: 22 pages, second paper of thesis
Categories: math.AG
Subjects: 14J30, 14J70, 14N25
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