We prove the finite generation of the monoid of effective divisor classes on a Platonic rational surface,then derive some consequences. We also show the vanishing of the irregularity of any numerically effective divisor, solving thus the Reimann-Roch Problem for numerically effective divisors. Platonic rational surfaces provide neew evidence to a speculationof Felix Klein about the interaction between geometry and discrete mathematics
The finite generation of the monoid of effective divisor classes on Platonic rational surfaces / Failla, Gioia; Lahyane, M; Molica Bisci, G. - (2007), pp. 565-576. (Intervento presentato al convegno Proceedings of the 2005 Marseille Singularity School and Conference tenutosi a Luminy,Marseille nel 24/01/2005-25/02/2005) [10.1142/9789812707499_0022].
The finite generation of the monoid of effective divisor classes on Platonic rational surfaces
FAILLA, Gioia;
2007-01-01
Abstract
We prove the finite generation of the monoid of effective divisor classes on a Platonic rational surface,then derive some consequences. We also show the vanishing of the irregularity of any numerically effective divisor, solving thus the Reimann-Roch Problem for numerically effective divisors. Platonic rational surfaces provide neew evidence to a speculationof Felix Klein about the interaction between geometry and discrete mathematicsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
