| || || || || || || |
Memoirs of the American Mathematical Society
1995; 63 pp; softcover
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 \(N \leq 2n-1\).
Research mathematicians, researchers in algebraic geometry.
Table of Contents
AMS Home |
© Copyright 2013, American Mathematical Society