Involutions on numerical Campedelli surfaces
Calabri, Alberto ; Lopes, Margarida Mendes ; Pardini, Rita
Tohoku Math. J. (2), Tome 60 (2008) no. 1, p. 1-22 / Harvested from Project Euclid
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Numerical Campedelli surfaces are minimal surfaces of general type with vanishing geometric genus and canonical divisor with self-intersection 2. Although they have been studied by several authors,their complete classification is not known. ¶ In this paper we classify numerical Campedelli surfaces with an involution, i.e., an automorphism of order 2. First we show that an involution on a numerical Campedelli surface $S$ has either four or six isolated fixed points, and the bicanonical map of $S$ is composed with the involution if and only if the involution has six isolated fixed points. Then we study in detail each of the possible cases, describing also several examples.
Publié le : 2008-05-15
Classification:  Campedelli surfaces,  involutions on surfaces,  automorphisms of surfaces,  surfaces with $p_g=0$,  double covers,  14J29 
@article{1206734404,
     author = {Calabri, Alberto and Lopes, Margarida Mendes and Pardini, Rita},
     title = {Involutions on numerical Campedelli surfaces},
     journal = {Tohoku Math. J. (2)},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 1-22},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1206734404}
}

Calabri, Alberto; Lopes, Margarida Mendes; Pardini, Rita. Involutions on numerical Campedelli surfaces. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp.  1-22. http://gdmltest.u-ga.fr/item/1206734404/