A note on a theorem of Horikawa.

Francesco Zucconi

Revista Matemática de la Universidad Complutense de Madrid (1997)

  • Volume: 10, Issue: 2, page 277-295
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Zucconi, Francesco. "A note on a theorem of Horikawa.." Revista Matemática de la Universidad Complutense de Madrid 10.2 (1997): 277-295. <http://eudml.org/doc/44271>.

@article{Zucconi1997,
abstract = {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.},
author = {Zucconi, Francesco},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Geometría algebraica; Superficies minimales; Mapas; Teorema de existencia; Singularidades; surfaces; birational model; canonical divisor},
language = {eng},
number = {2},
pages = {277-295},
title = {A note on a theorem of Horikawa.},
url = {http://eudml.org/doc/44271},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Zucconi, Francesco
TI - A note on a theorem of Horikawa.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - 2
SP - 277
EP - 295
AB - 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.
LA - eng
KW - Geometría algebraica; Superficies minimales; Mapas; Teorema de existencia; Singularidades; surfaces; birational model; canonical divisor
UR - http://eudml.org/doc/44271
ER -

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