Curves in a hyperbolic quadric surface with a large number of \({\mathbb{F}_{q}}\)-points

DOI10.1007/s00022-011-0072-4zbMath1231.14017OpenAlexW1979604073MaRDI QIDQ657005

Edoardo Ballico

Publication date: 13 January 2012

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-011-0072-4

zbMATH Keywords

curve over a finite fieldhyperbolic quadric surface

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Curves in algebraic geometry (14H99)

Cites Work

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• Sziklai's conjecture on the number of points of a plane curve over a finite field. III
• A Künneth formula for coherent algebraic sheaves
• Around Sziklai's conjecture on the number of points of a plane curve over a finite field
• A study of intersections of quadrics having applications on the small weight codewords of the functional codes \(C_2(Q)\), \(Q\) a non-singular quadric
• Evaluation codes from smooth quadric surfaces and twisted Segre varieties
• The small weight codewords of the functional codes associated to non-singular Hermitian varieties
• Algebraic Function Fields and Codes
• Codes Defined by Forms of Degree $2$ on Quadric Surfaces

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