Here we introduce the concept of special effect curve which permits to study, from a different point of view, special linear systems in P^2, i.e., linear system with general multiple base points whose effective dimension is strictly greater than the expected one. In particular we study two different kinds of special effect: the α-special effect is defined by requiring some numerical conditions, while the definition of h1-special effect concerns cohomology groups. We state two new conjectures for the characterization of special linear systems and we prove they are equivalent to the Segre and the Harbourne-Hirschowitz ones.
Bocci, C. (2010). Special effect varieties and (-1)-curves. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 40(2), 397-419 [10.1216/RMJ-2010-40-2-397].
Special effect varieties and (-1)-curves
BOCCI, CRISTIANO
2010-01-01
Abstract
Here we introduce the concept of special effect curve which permits to study, from a different point of view, special linear systems in P^2, i.e., linear system with general multiple base points whose effective dimension is strictly greater than the expected one. In particular we study two different kinds of special effect: the α-special effect is defined by requiring some numerical conditions, while the definition of h1-special effect concerns cohomology groups. We state two new conjectures for the characterization of special linear systems and we prove they are equivalent to the Segre and the Harbourne-Hirschowitz ones.File | Dimensione | Formato | |
---|---|---|---|
boccisev-1.pdf
non disponibili
Tipologia:
Post-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
311.46 kB
Formato
Adobe PDF
|
311.46 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/12411
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo