Memoirs of the American Mathematical Society 1995; 63 pp; softcover Volume: 116 ISBN10: 0821802348 ISBN13: 9780821802342 List Price: US$36 Individual Members: US$21.60 Institutional Members: US$28.80 Order Code: MEMO/116/554
 This work studies the adjunction theory of smooth \(3\)folds in \(\mathbb P^5\). 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 \(\mathbb P^N\) with \(N \leq 2n1\). Readership Research mathematicians, researchers in algebraic geometry. Table of Contents  Introduction
 Background material
 The second reduction for \(n\)folds in \(\mathbb P^{2n1}\)
 General formulae for threefolds in \(\mathbb P^5\)
 Nefness and bigness of \(K_X+2\mathcal K\)
 Ampleness of \(K_X+2\mathcal K\)
 Nefness and bigness of \(K_X+\mathcal K\)
 Invariants for threefolds in \(\mathbb P^5\) up to degree \(12\)
 References
