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.
On dominant rational maps from products of curves to surfaces of general type
PIROLA, GIAN PIETRO
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
