The singularities of the $3$-secant curve associated to a space curve

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The Singularities of the 3-secant Curve Associated to a Space Curve

Let C be a curve in P3 over an algebraically closed field of characteristic zero. We assume that C is nonsingular and contains no plane component except possibly an irreducible conic. In [GP] one defines closed r-secant varieties to C, r £ N. These varieties are embedded in G, the Grassmannian of lines in P3. Denote by T the 3-secant variety (curve), and assume that the set of 4-secants is fini...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1986

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1986-0831191-3