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;
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 mathematicsFile 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.