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On first order congruences of lines in ℙ4 with irreducible fundamental surface |
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| Authors: | Pietro De Poi |
| Abstract: | In this article we study congruences of lines in ?n, and in particular of order one. After giving general results, we obtain a complete classification in the case of ?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) |
| Keywords: | Algebraic geometry focal loci Grassmannians congruences |