Sbornik. Mathematics, Tome 189 (1998) no. 1, pp. 97-114
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M. M. Grinenko. Birational automorphisms of a three-dimensional double quadric with an elementary singularity. Sbornik. Mathematics, Tome 189 (1998) no. 1, pp. 97-114. http://geodesic.mathdoc.fr/item/SM_1998_189_1_a4/
@article{SM_1998_189_1_a4,
author = {M. M. Grinenko},
title = {Birational automorphisms of a~three-dimensional double quadric with an~elementary singularity},
journal = {Sbornik. Mathematics},
pages = {97--114},
year = {1998},
volume = {189},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1998_189_1_a4/}
}
TY - JOUR
AU - M. M. Grinenko
TI - Birational automorphisms of a three-dimensional double quadric with an elementary singularity
JO - Sbornik. Mathematics
PY - 1998
SP - 97
EP - 114
VL - 189
IS - 1
UR - http://geodesic.mathdoc.fr/item/SM_1998_189_1_a4/
LA - en
ID - SM_1998_189_1_a4
ER -
%0 Journal Article
%A M. M. Grinenko
%T Birational automorphisms of a three-dimensional double quadric with an elementary singularity
%J Sbornik. Mathematics
%D 1998
%P 97-114
%V 189
%N 1
%U http://geodesic.mathdoc.fr/item/SM_1998_189_1_a4/
%G en
%F SM_1998_189_1_a4
It is proved that the group of birational automorphisms of a three-dimensional double quadric with a singular point arising from a double point on the branch divisor is a semidirect product of the free group generated by birational involutions of a special form and the group of regular automorphisms. The proof is based on the method of 'untwisting' maximal singularities of linear systems.
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[2] Iskovskikh V. A., Manin Yu. A., “Trekhmernye kvartiki i kontrprimery k probleme Lyurota”, Matem. sb., 86 (128):1 (1971), 140–166 | MR | Zbl
