We study dominant rational maps from a general surface in $\mathbb P^{3}$ to surfaces of general type. We prove restrictions on the target surfaces, and special properties of these rational maps. We show that for small degree the general surface has no such map. Moreover a slight improvement of a result of Catanese, on the number of moduli of a surface of general type, is also obtained.
On rational maps from a general surface in P^3 to surfaces of general type
GUERRA, Lucio;
2008
Abstract
We study dominant rational maps from a general surface in $\mathbb P^{3}$ to surfaces of general type. We prove restrictions on the target surfaces, and special properties of these rational maps. We show that for small degree the general surface has no such map. Moreover a slight improvement of a result of Catanese, on the number of moduli of a surface of general type, is also obtained.File in questo prodotto:
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