Classification of smooth congruences with a fundamental curve

1993/06/23 by Enrique Arrondo, Arrondo, Enrique, Marina Bertolini +3
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.alg-geom/9306009

openalex publication_date 1993/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a classification and a construction of all smooth (n-1)-dimensional varieties of lines in \bf P\sp n verifying that all their lines meet a curve. This also gives a complete classification of (n-1)-scrolls over a curve contained in G(1,n).

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