Some Special Properties of the Adjunction Theory for $3$-Folds in $\mathbb P^5$
Mauro Beltrametti · Michael Schneider · Andrew John Sommese
Jan 1995 · American Mathematical Society: Memoirs of the American Mathematical Society Book 554 · American Mathematical Soc.
Ebook
63
Pages
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About this ebook
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.
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