Parametrization of rational maps on a variety of general type, and the finiteness theorem

Details Parametrization of rational maps on a variety of general type, and the finiteness theorem Parametrization of rational maps on a variety of general type, and the finiteness theorem

2012-03-10

arxiv.org/abs/1203.2246v1

Mathematics

Algebraic Geometry

9 pages, to appear in Proc. Amer. Math. Soc

Scientific paper

In a previous paper, we provided some update in the treatment of the finiteness theorem for rational maps of finite degree from a fixed variety to varieties of general type. In the present paper we present another improvement, introducing the natural parametrization of maps by means of the space of linear projections in a suitable projective space, and this leads to some new insight in the geometry of the finiteness theorem.

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