arXiv Analytics

Sign in

arXiv:1407.1813 [math.NT]AbstractReferencesReviewsResources

Zeta functions, Grothendieck groups, and the Witt ring

Niranjan Ramachandran

Published 2014-07-07, updated 2014-07-10Version 2

We prove some results connecting the zeta functions of varieties over finite fields with the big Witt ring over $\mathbb Z$. We explore relations with motivic measures and a classical formula of Macdonald on invariants of symmetric products of a variety.

Comments: 23 pages, submitted for publication. Added reference to Niko Naumann's work. Comments welcome
Categories: math.NT, math.AG, math.KT
Subjects: 11Mxx, 14G15
Related articles: Most relevant | Search more
arXiv:math/0502507 [math.NT] (Published 2005-02-24, updated 2005-03-14)
Values of zeta functions at s=1/2
arXiv:math/0110262 [math.NT] (Published 2001-10-24)
On the group orders of elliptic curves over finite fields
arXiv:math/0607515 [math.NT] (Published 2006-07-21, updated 2007-04-04)
Jacobians in isogeny classes of abelian surfaces over finite fields

Links

Toolbox