Congruences for rational points on varieties over finite fields

DOI10.1007/s00208-005-0697-4zbMath1083.14022arXivmath/0402230OpenAlexW1971046482MaRDI QIDQ2575649

C. S. Rajan, Najmuddin Fakhruddin

Publication date: 6 December 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402230

zbMATH Keywords

rational pointChow group

Mathematics Subject Classification ID

Rational points (14G05) Finite ground fields in algebraic geometry (14G15) Algebraic cycles (14C25) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (6)

Vanishing of the higher direct images of the structure sheaf ⋮ Lines on Cubic Hypersurfaces Over Finite Fields ⋮ Varieties of planes on intersections of three quadrics ⋮ Degenerations of rationally connected varieties ⋮ Appendix to ``Congruences for rational points on varieties over finite fields by N. Fakhruddin and C. S. Rajan ⋮ On Chow-weight homology of geometric motives

Cites Work

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• Varieties over a finite field with trivial Chow group of 0-cycles have a rational point
• Motivic decomposition and intersection Chow groups. I.
• Appendix to ``Congruences for rational points on varieties over finite fields by N. Fakhruddin and C. S. Rajan
• Connexité rationnelle des variétés de Fano
• On a Theorem of Ax

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