Etale cohomology, lefschetz theorems and number of points of singular varieties over finite fields

Abstract

Brian Conrad kindly pointed out to us that the proof of Proposition 9.8 in the article in question is incomplete. We provide here the missing arguments together with a few other corrections and use the opportunity to indicate some new consequences of our results, and also mention some applications of the results in [S1]. In what follows, the supplementary references, including the original paper itself, are numbered as [S1], [S2], etc., while citations such as [1] refer to those in [S1]. Lemmas, propositions, etc., numbered such as 2.1, 8.4, & c., correspond to those in [S1]. A revised version of [S1] incorporating the corrections in this note is available as arXiv:0808.2169 [math. AG].