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 into the geometry of the finiteness theorem.

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

PIROLA, GIAN PIETRO
2014-01-01

Abstract

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 into the geometry of the finiteness theorem.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/760256
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