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arXiv · alg-geom/9306009

Classification of smooth congruences with a fundamental curve

Enrique Arrondo·Marina Bertolini·Cristina Turrini
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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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BibTeXRIS

Enrique Arrondo, Marina Bertolini, Cristina Turrini. 1993-06-23. Classification of smooth congruences with a fundamental curve. https://arxiv.org/abs/alg-geom/9306009

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