Morphisms from Quintic Threefolds to Cubic Threefolds are Constant

Mathematics – Algebraic Geometry

Scientific paper

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22 pages, second paper of thesis

Scientific paper

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.

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