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

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.

24 pages, AMS-TeX 2.1

References in corpus (1)

• Conic bundles in projective fourspace

Cited by in corpus (2)

• Nonabelian 2D Gauge Theories for Determinantal Calabi-Yau Varieties
• Liaison and Related Topics: Notes from the Torino Workshop/School