RMC - Vol. 10, Num. 2 - Francesco Zucconi

Full paper in PDF:
$%F. Zucconi, A note on a theorem of Horikawa, Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 2, 277–295.%$

A Note on a Theorem of Horikawa

Francesco ZUCCONI

Università di Pisa
Dipartimento di Matematica
Fia F. Buonarroti 2
56127 Pisa — Italy

succoni@gauss.dm.unipi.it

Received: February 5, 1997
Revised: July 1, 1997

ABSTRACT

In this paper we classify the algebraic surfaces on $C$ with $K2S = 4$ , $pg = 3$ and canonical map of degree $d= 3$ . By our result and the previous one of Horikawa (1979) we obtain the complete determination of surfaces with $2 K = 4$ and $pg = 3$ .

1991 Mathematics Subject Classification: 14J29.