In this paper we classify the algebraic surfaces on C with KS2=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 K2=4 and pg=3.
@article{urn:eudml:doc:44271,
title = {A note on a theorem of Horikawa.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {10},
year = {1997},
pages = {277-295},
zbl = {0896.14018},
mrnumber = {MR1605654},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44271}
}
Zucconi, Francesco. A note on a theorem of Horikawa.. Revista Matemática de la Universidad Complutense de Madrid, Tome 10 (1997) pp. 277-295. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44271/