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>6 and g'>1 does not admit dominant rational maps, other than the identity, on surfaces of general type.

Bastianelli, F., Pirola, G.p. (2013). On dominant rational maps from products of curves to surfaces of general type. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 45(6), 1310-1322 [10.1112/blms/bdt057].

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>6 and g'>1 does not admit dominant rational maps, other than the identity, on surfaces of general type.
2013
Bastianelli, F., Pirola, G.p. (2013). On dominant rational maps from products of curves to surfaces of general type. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 45(6), 1310-1322 [10.1112/blms/bdt057].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/131966
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