Some adjunction-theoretic properties of codimension two nonsingular   subvarieties of quadrics
  We make precise the structure of the first two reduction morphisms associated with codimension two nonsingular subvarieties of quadrics $\Q{n}$, $n\geq 5$. We give a coarse classification of the same class of subvarieties when they are assumed to be not of log-general-type.   Keywords: Adjunction Theory, classification, codimension two, conic bundles, low codimension, non log-general-type, quadric, reduction, special variety 
Mark Andrea A. de Cataldo (Washington U. in St. Louis)