Number of Points of Singular Varieties over Finite Fields

Corrigenda and Addenda: Étale Cohomology, Lefschetz Theorems and Number of Points of Singular Varieties over Finite Fields1


Sudhir R. Ghorpade

Department of Mathematics
Indian Institute of Technology, Bombay,
Powai, Mumbai 400076, India

E-Mail: srg@math.iitb.ac.in

and

Gilles Lachaud

Équipe ``Arithmétique et Théorie de l'Information''
Institut de Mathématiques de Luminy
Luminy Case 907, 13288 Marseille, Cedex 9, France

E-Mail: lachaud@iml.univ-mrs.fr


Abstract

Brian Conrad had pointed out to us that the proof of Proposition 9.8 in our MMJ article is incomplete. In this supplement, we provide the missing arguments together with a few other corrections. We also use the opportunity to indicate some new consequences of our results, and mention some applications of the results in the MMJ article


Contents



Base Field 1
Betti Numbers of Curves 2
The Penultimate Cohomology Group 4
Addenda 6
Additions and Compements 7
Supplementary References 7


1 2000 Mathematics Subject Classification. 11G25, 14F20, 14G15, 14M10.


This paper is published in: Moscow Mathematical Journal, Vol. 9, No. 2 (2009), pp. 431--438.
A revised version of the MMJ article taking into account the corrections and additions in this supplement is available on the arXiv.org.

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