Geodesic
On compactification of a Clemens family of three-dimensional algebraic varieties
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (1982), pp. 38-42

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

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. 
@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},
     publisher = {mathdoc},
     number = {2},
     year = {1982},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_2_a9/
%G ru
%F VMUMM_1982_2_a9
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/