Sia una varietà irriducibile -dimensionale localmente Cohen-Macaulay, -Gorenstein e non di tipo generale; assumiamo , e . In questo lavoro dimostriamo che e quindi che l'insieme di tutte queste varietà è parametrizzato da un insieme finito di varietà algebriche.
@article{BUMI_2000_8_3B_3_687_0, author = {E. Ballico}, title = {The boundedness of singular subvarieties of $\mathbf{P}^N$ not of a general type and with low codimension}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {3-A}, year = {2000}, pages = {687-689}, zbl = {1026.14014}, mrnumber = {1801611}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2000_8_3B_3_687_0} }
Ballico, E. The boundedness of singular subvarieties of $\mathbf{P}^N$ not of a general type and with low codimension. Bollettino dell'Unione Matematica Italiana, Tome 3-A (2000) pp. 687-689. http://gdmltest.u-ga.fr/item/BUMI_2000_8_3B_3_687_0/
[B] 50, Birkhäuser, 1984. | Zbl 0553.14002
, Intersection Cohomology, Progress in Math.,[F] 2, Springer-Verlag, 1984. | MR 732620 | Zbl 0541.14005
, Intersection Theory, Ergebnisse der Math. B.,[FL] Connectivity and its applications in algebraic geometry, in: Algebraic Geometry, Proc. Chicago Circle, pp. 26-92, Lect. Notes in Math., 862, Springer-Verlag, 1980. | MR 644817 | Zbl 0484.14005
- ,[H1] 156, Springer-Verlag, 1970. | MR 282977 | Zbl 0208.48901
, Ample subvarieties of algebraic varieties, Lect. Notes in Math.,[H2] On the De Rham cohomology of algebraic varieties, Publ. Math. IHES, 45 (1976), 5-99. | MR 432647 | Zbl 0326.14004
,[HS] Local cohomological dimension in characteristic , Ann. Math., 105 (1977), 45-79. | MR 441962 | Zbl 0362.14002
- ,[O] On the formal neighborhood of a subvariety of projective space, Amer. J. Math., 97 (1975), 1085-1107. | MR 401764 | Zbl 0331.14002
,[S] Boundedness of low-codimensional submanifolds of projective space, Int. J. Math., 3 (1992), 397-399. | MR 1163732 | Zbl 0762.14022
,