Geodesic
On real quadric line complexes
Izvestiya. Mathematics , Tome 74 (2010) no. 6, pp. 1255-1276

Voir la notice de l'article provenant de la source Math-Net.Ru

We describe the topological types of the real parts of the Kummer surfaces associated with real three-dimensional quadric line complexes. The topological type of the real part of such a surface is shown to depend on the number of real singular points: it is determined by the number of such points if any exist, and otherwise the real part of the Kummer surface is either empty or consists of one or two tori.
Keywords: pencil of quadrics, Kummer surface, index function.
Mots-clés : quadric complex, biquadric 
@article{IM2_2010_74_6_a5,
     author = {V. A. Krasnov},
     title = {On real quadric line complexes},
     journal = {Izvestiya. Mathematics },
     pages = {1255--1276},
     publisher = {mathdoc},
     volume = {74},
     number = {6},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2010_74_6_a5/}
}
TY  - JOUR
AU  - V. A. Krasnov
TI  - On real quadric line complexes
JO  - Izvestiya. Mathematics 
PY  - 2010
SP  - 1255
EP  - 1276
VL  - 74
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2010_74_6_a5/
LA  - en
ID  - IM2_2010_74_6_a5
ER  - 
%0 Journal Article
%A V. A. Krasnov
%T On real quadric line complexes
%J Izvestiya. Mathematics 
%D 2010
%P 1255-1276
%V 74
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2010_74_6_a5/
%G en
%F IM2_2010_74_6_a5
V. A. Krasnov. On real quadric line complexes. Izvestiya. Mathematics , Tome 74 (2010) no. 6, pp. 1255-1276. http://geodesic.mathdoc.fr/item/IM2_2010_74_6_a5/