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

Guerra, Lucio; Pirola, Gian

doi:10.1090/S0002-9939-2013-11750-8

Parametrization of rational maps on a variety of general type, and the finiteness theorem
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by Lucio Guerra and Gian Pietro Pirola PDF

Proc. Amer. Math. Soc. 142 (2014), 93-100 Request permission

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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