Boundedness for codimension two submanifolds of quadrics

Details Boundedness for codimension two submanifolds of quadrics Boundedness for codimension two submanifolds of quadrics

1997-05-15

arxiv.org/abs/alg-geom/9705015v1

Mathematics

Algebraic Geometry

AMS-LaTeX v2e, 22 pages, to the memory of Fernando Serrano

Scientific paper

Arrondo, Sols and De Cataldo proved that there are only finitely many
families of codimension two subvarieties not of general type in the smooth
quadric of dimension $n+2$ for $n\ge 2 $, $n\neq 4$. In this paper we drop the
assumption $n\neq 4$ from the previous result (obviously the assumption $n\ge
2$ cannot be removed).

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