Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 38-42
Citer cet article
D. G. Markushevich. On compactification of a Clemens family of three-dimensional algebraic varieties. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 38-42. http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a9/
@article{VMUMM_1982_2_a9,
author = {D. G. Markushevich},
title = {On compactification of a {Clemens} family of three-dimensional algebraic varieties},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {38--42},
year = {1982},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a9/}
}
TY - JOUR
AU - D. G. Markushevich
TI - On compactification of a Clemens family of three-dimensional algebraic varieties
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 38
EP - 42
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a9/
LA - ru
ID - VMUMM_1982_2_a9
ER -
%0 Journal Article
%A D. G. Markushevich
%T On compactification of a Clemens family of three-dimensional algebraic varieties
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 38-42
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a9/
%G ru
%F VMUMM_1982_2_a9
We study some families of projective threefolds having the conic-bundle over $\mathbf{P^2}$ with the non-ample anticanonical class as a generic fiber. Using some recent fundamental results of Sh. Mori we prove that each fiber of such a family has the structure of a conic-bundle over $\mathbf{P^2}$. We give a negative answer to a question raised by С. H. Clemens in 1974 on the existence of a smooth compactification of the special family.
