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.File in questo prodotto:
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