In this paper, we investigate the existence of generically finite dominant rational maps from products of curves to surfaces of general type. We prove that the product C × D of two distinct very general curves of genus g ≥ 7 and g′ ≥ 2 does not admit dominant rational maps, other than the identity, on surfaces of general type. © 2013 London Mathematical Society.
On dominant rational maps from products of curves to surfaces of general type
BASTIANELLI, Francesco;
2013-01-01
Abstract
In this paper, we investigate the existence of generically finite dominant rational maps from products of curves to surfaces of general type. We prove that the product C × D of two distinct very general curves of genus g ≥ 7 and g′ ≥ 2 does not admit dominant rational maps, other than the identity, on surfaces of general type. © 2013 London Mathematical Society.File in questo prodotto:
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