In this paper we solve the problem proposed by Xiao about the existence of surfaces with pg = 4, K2X = 9 and canonical map composed with a pencil [X4]. In fact we show that such surfaces do not exist. As a consequence of our non-existence result we obtain the new bound K2X ≥ 4pg - 6 where X is a minimal surface of general type with canonical map composed with a pencil and pg(X) ≥ 3.
Numerical inequalities for surfaces with canonical map composed with a pencil
ZUCCONI, Francesco
1998-01-01
Abstract
In this paper we solve the problem proposed by Xiao about the existence of surfaces with pg = 4, K2X = 9 and canonical map composed with a pencil [X4]. In fact we show that such surfaces do not exist. As a consequence of our non-existence result we obtain the new bound K2X ≥ 4pg - 6 where X is a minimal surface of general type with canonical map composed with a pencil and pg(X) ≥ 3.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
numericalineq.pdf
non disponibili
Tipologia:
Altro materiale allegato
Licenza:
Non pubblico
Dimensione
1.06 MB
Formato
Adobe PDF
|
1.06 MB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
