A finiteness theorem for low-codimensional nonsingular subvarieties of quadrics
Abstract
We prove that there are only finitely many families of codimension two nonsingular subvarieties of quadrics $\Q{n}$ 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. The case $n=6$ has been recently settled by Fania-Ottaviani. Keywords: Codimension two, Grassmannians, Lifting, Low codimension, Not of General Type, Polynomial Bound, Quadrics
- Publication:
-
arXiv e-prints
- Pub Date:
- August 1996
- DOI:
- 10.48550/arXiv.alg-geom/9608020
- arXiv:
- arXiv:alg-geom/9608020
- Bibcode:
- 1996alg.geom..8020D
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14J70;
- 14M07;
- 14M10;
- 14M15;
- 14M17;
- 14M20
- E-Print:
- Ams-LAtex