Surfaces in \(\mathbb{P}^5\) which do not admit trisecants

DOI10.1216/rmjm/1181071680zbMath0965.14028OpenAlexW2018451504MaRDI QIDQ1293283

Edoardo Ballico, Antonio Cossidente

Publication date: 29 July 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-1/CONT29-1/CONT29-1.html

zbMATH Keywords

finite fieldno trisecant linetrisecant lines of surfaces

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05) Special surfaces (14J25)

Related Items (2)

On multisecants and the Green-Lazarsfeld index of projective varieties ⋮ Threefolds of the Klein quadric and trisecant lines

Cites Work

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• Curvilinear enumerative geometry
• The uniform position principle for curves in characteristic p
• Quelques calculs dans les variétés d'alignements. (Some calculations in line varieties)
• Formules pour les trisécantes des surfaces algébriques. (Formulas for the trisecants of algebraic surfaces)
• Enumerating stationary multiple-points
• Multiple-point formulas. I: Iteration
• Unstable vector bundles and linear systems on surfaces in characteristic p
• On Petri's analysis of the linear system of quadrics through a canonical curve
• On Singular Curves in the Case of Positive Characteristic
• Severi's Theorem on the Veronese-Surface
• A Characterization of the Veronese Surface
• An Enumeration of All Varieties of Degree 4

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