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/