Classification of smooth congruences with a fundamental curve

Details Classification of smooth congruences with a fundamental curve Classification of smooth congruences with a fundamental curve

1993-06-23

arxiv.org/abs/alg-geom/9306009v1

Mathematics

Algebraic Geometry

Plain TeX, typeset by Textures 1.5, 13 pages

Scientific paper

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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