A FINITENESS THEOREM FOR LOW-CODIMENSIONAL NONSINGULAR SUBVARIETIES OF QUADRICS

Authors
DECATALDO MAA
Citation
Maa. Decataldo, A FINITENESS THEOREM FOR LOW-CODIMENSIONAL NONSINGULAR SUBVARIETIES OF QUADRICS, Transactions of the American Mathematical Society, 349(6), 1997, pp. 2359-2370
Citations number
17
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
349
Issue
6
Year of publication
1997
Pages
2359 - 2370
Database
ISI
SICI code
0002-9947(1997)349:6<2359:AFTFLN>2.0.ZU;2-2
Abstract
We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics Q(n) which are not of general ty pe, for n = 5 and n greater than or equal to 7. We prove a similar sta tement also for the case of higher codimension.