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.

On first order congruences of lines in P^4 with irreducible fundamental surface

DE POI, Pietro
2005

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/852130
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