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Published:1997-08-01
Printed: Aug 1997
• Mark Andrea A. de Cataldo
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Abstract

We make precise the structure of the first two reduction morphisms associated with codimension two non-singular subvarieties of non-singular quadrics $\Q^n$, $n\geq 5$. We give a coarse classification of the same class of subvarieties when they are assumed not to be of log-general-type.}
 Keywords: Adjunction Theory, classification, codimension two, conic bundles, low codimension, non log-general-type, quadric, reduction, special, variety.
 MSC Classifications: 14C05 - Parametrization (Chow and Hilbert schemes) 14E05 - Rational and birational maps 14E25 - Embeddings 14E30 - Minimal model program (Mori theory, extremal rays) 14E35 - unknown classification 14E3514J10 - Families, moduli, classification: algebraic theory