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.File in questo prodotto:
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