Lang maps and Harris's conjecture - a note in search for content

Details Lang maps and Harris's conjecture - a note in search for content Lang maps and Harris's conjecture - a note in search for content

1995-12-23

arxiv.org/abs/alg-geom/9512015v1

Mathematics

Algebraic Geometry

LaTeX2e in LaTeX 2.09 compatibility mode. 5 pages in \large font, with no figures, author-supplied HTML file available at ht

Scientific paper

The Lang map, namely the universal dominant rational map to a variety of general type, is constructed and briefly discussed in relation with arithmetic conjectures of Harris, Lang and Manin. Existence of the Lang map follows from the additivity of Kodaira dimension, but the fine structure depends on conjectures on birational classification of algebraic varieties. Serious applications of the Lang map are still being searched.

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