The irregularity of ruled surfaces in P3

  1. Giraldo, Luis
  2. Sols Lucia, Ignacio
Journal:
Collectanea mathematica

ISSN: 0010-0757

Year of publication: 1998

Volume: 49

Fascicle: 2-3

Pages: 325-334

Type: Article

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Abstract

Let $S$ be a ruled surface in $\textbf{P}^3$ with no multiple generators. Let $d$ and $q$ be nonnegative integers. In this paper we determine which pairs $d(d,q)$ correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in $\textbf{P}^5$.

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