Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A finiteness theorem for low-codimensional
nonsingular subvarieties of quadrics


Author: Mark Andrea A. de Cataldo
Journal: Trans. Amer. Math. Soc. 349 (1997), 2359-2370
MSC (1991): Primary 14J70, 14M07, 14M10, 14\-M\-15, 14M17, 14M20
MathSciNet review: 1376545
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics $\mathcal {Q}^{n}$ which are not of general type, for $n=5$ and $n\geq 7$. We prove a similar statement also for the case of higher codimension.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 14J70, 14M07, 14M10, 14\-M\-15, 14M17, 14M20

Retrieve articles in all journals with MSC (1991): 14J70, 14M07, 14M10, 14\-M\-15, 14M17, 14M20


Additional Information

Mark Andrea A. de Cataldo
Affiliation: Department of Mathematics, Washington University in St. Louis, Campus Box 1146, St. Louis, Missouri 63130-4899
Email: mde@math.wustl.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01736-4
PII: S 0002-9947(97)01736-4
Keywords: Codimension two, Grassmannians, lifting, low codimension, not of general type, polynomial bound, quadrics
Received by editor(s): November 27, 1995
Article copyright: © Copyright 1997 American Mathematical Society