arXiv Analytics

Sign in

arXiv:1210.7460 [math.AG]AbstractReferencesReviewsResources

Addendum to: Milne, Values of zeta functions of varieties over finite fields, Amer. J. Math. 108, (1986), 297-360

J. S. Milne

Published 2012-10-28, updated 2013-10-21Version 2

The original article expressed the special values of the zeta function of a variety over a finite field in terms of the $\hat{Z}$-cohomology of the variety. As the article was being completed, Lichtenbaum conjectured the existence of certain motivic cohomology groups. Progress on his conjecture allows one to give a beautiful restatement of the main theorem of the article in terms of $Z$-cohomology groups.

Comments: October 2013: Improved exposition. Added notes
Categories: math.AG
Subjects: 14G10
Related articles: Most relevant | Search more
arXiv:math/0209092 [math.AG] (Published 2002-09-09)
On the irreducibility of the two variable zeta-function for curves over finite fields
arXiv:math/9612217 [math.AG] (Published 1996-12-11)
Subspace Arrangements over Finite Fields: Cohomological and Enumerative Properties
arXiv:0905.0342 [math.AG] (Published 2009-05-04, updated 2015-05-25)
Non-vanishing forms in projective space over finite fields