We show that the existence on a surface of general type S of irregularity q of an effective divisor D having self-intersection D2 > 0 and arithmetic genus q implies that S is birational either to a product of curves or to the second symmetric product of a curve. Keywords: surface of general type, irregular surface, curves on surfaces, symmetric product.
A characterization of the symmetric square of a curve
PARDINI, RITA;
2011-01-01
Abstract
We show that the existence on a surface of general type S of irregularity q of an effective divisor D having self-intersection D2 > 0 and arithmetic genus q implies that S is birational either to a product of curves or to the second symmetric product of a curve. Keywords: surface of general type, irregular surface, curves on surfaces, symmetric product.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.
