On traces of Frobenius endomorphisms

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2014Embargo end date: 01 Jan 2009 English Publisher:Elsevier BVJournal:Finite Fields and Their Applications, volume 25, pages 270-279 (issn: 1071-5797,

Copyright policy )Funded by:NSERC | unidentified

Authors: Igor Nikolaev;

doi: 10.1016/j.ffa.2013.10.003 , 10.48550/arxiv.0909.1994

arXiv: 0909.1994

On traces of Frobenius endomorphisms

- Summary
- Subjects
- Metrics

Abstract

We compute the number of points of projective variety V over a finite field in terms of invariants of the so-called Serre C*-algebra of V.

15 pages; to appear Finite Fields and Their Applications

Related Organizations

University of Toronto
Canada
Fields Institute for Research in Mathematical Sciences
Canada

Keywords

Finite ground fields in algebraic geometry, \(C^*\)-algebra, finite fields, Mathematics - Number Theory, 14G15, 46L85, Mathematics - Operator Algebras, FOS: Mathematics, number of rational points, Projective variety, Number Theory (math.NT), Noncommutative topology, Operator Algebras (math.OA)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average