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arXiv · alg-geom/9402006

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

Wolfram Decker·Sorin Popescu
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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.

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Wolfram Decker, Sorin Popescu. 1994-02-08. On surfaces in P^4 and 3-folds in P^5. https://arxiv.org/abs/alg-geom/9402006

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