✦ LIBER ✦
On first order congruences of lines in ℙ4 with irreducible fundamental surface
✍ Scribed by Pietro De Poi
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 242 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
In this article we study congruences of lines in ℙ^n^, and in particular of order one. After giving general results, we obtain a complete classification in the case of ℙ^4^ in which the fundamental surface F is in fact a variety, i.e. it is integral, and the congruence is the irreducible set of the trisecant lines of F. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)