On surfaces in P^4 and 3-folds in P^5

Details On surfaces in P^4 and 3-folds in P^5 On surfaces in P^4 and 3-folds in P^5

1994-02-08

arxiv.org/abs/alg-geom/9402006v1

Mathematics

Algebraic Geometry

24 pages, AMS-TeX 2.1

Scientific paper

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.

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