On surfaces in P^4 and 3-folds in P^5
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
This is a survey on the classification of smooth surfaces in P^4 and smooth 3-folds in P^5. We recall the corresponding results arising from adjunction theory and explain how to construct examples via syzygies. We discuss some examples in detail and list all families of smooth non-general type surfaces in P^4 and 3-folds in P^5 known to us.
Cite
@article{arxiv.alg-geom/9402006,
title = {On surfaces in P^4 and 3-folds in P^5},
author = {Wolfram Decker and Sorin Popescu},
journal= {arXiv preprint arXiv:alg-geom/9402006},
year = {2008}
}
Comments
24 pages, AMS-TeX 2.1