Three-dimensional quartics containing a~plane
Sbornik. Mathematics, Tome 202 (2011) no. 2, pp. 207-241

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

We study Fano threefolds birationally equivalent to a quartic containing a plane. We prove that linear systems that have no maximal singularities at a singular point of the variety can have maximal singularities only along curves of degree one. We construct corresponding birational automorphisms. Bibliography: 10 titles.
Keywords: birational geometry, Fano varieties, method of maximal singularities.
@article{SM_2011_202_2_a1,
     author = {M. M. Grinenko},
     title = {Three-dimensional quartics containing a~plane},
     journal = {Sbornik. Mathematics},
     pages = {207--241},
     publisher = {mathdoc},
     volume = {202},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2011_202_2_a1/}
}
TY  - JOUR
AU  - M. M. Grinenko
TI  - Three-dimensional quartics containing a~plane
JO  - Sbornik. Mathematics
PY  - 2011
SP  - 207
EP  - 241
VL  - 202
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2011_202_2_a1/
LA  - en
ID  - SM_2011_202_2_a1
ER  - 
%0 Journal Article
%A M. M. Grinenko
%T Three-dimensional quartics containing a~plane
%J Sbornik. Mathematics
%D 2011
%P 207-241
%V 202
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2011_202_2_a1/
%G en
%F SM_2011_202_2_a1
M. M. Grinenko. Three-dimensional quartics containing a~plane. Sbornik. Mathematics, Tome 202 (2011) no. 2, pp. 207-241. http://geodesic.mathdoc.fr/item/SM_2011_202_2_a1/