Morphisms from Quintic Threefolds to Cubic Threefolds are Constant
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0302006,
title = {Morphisms from Quintic Threefolds to Cubic Threefolds are Constant},
author = {David Sheppard},
journal= {arXiv preprint arXiv:math/0302006},
year = {2007}
}
Comments
22 pages, second paper of thesis