Some Special Properties of the Adjunction Theory for 3-Folds in P5
, by Beltrametti, Mauro; Schneider, Michael; Sommese, Andrew John- ISBN: 9780821802342 | 0821802348
- Cover: Paperback
- Copyright: 7/1/1995
This work studies the adjunction theory of smooth 3-folds in P]5. Because of the many special restrictions on such 3-folds, the structure of the adjunction theoretic reductions are especially simple, e.g. the 3-fold equals its first reduction, the second reduction is smooth except possibly for a few explicit low degrees, and the formulae relating the projective invariants of the given 3-fold with the invariants of its second reduction are very explicit. Tables summarizing the classification of such 3-folds up to degree 12 are included. Many of the general results are shown to hold for smooth projective n-folds embedded in P]N with N #< 2n -1.