activity
20122026
most citedHigher adeles and non-abelian Riemann-Roch

8 citations · 15 across the 4 of their papers we have counts for

collaborators

6 papers

math.KT2026

The Nil K-groups of finite groups

Ted Chinburg, Matthew Morrow, Georgios Pappas +1

We show that for every finite group and every integer , the Nil group of the integral group ring of has finite exponent, and give a bound…

math.NT2017★ 3 cited

Cup products in the etale cohomology of number fields

Frauke M. Bleher, Ted Chinburg, Ralph Greenberg +3

This paper concerns cup product pairings in étale cohomology related to work of M. Kim and of W. McCallum and R. Sharifi. We will show that by considering Ext groups rather than co…

math.KT2013★ 4 cited

K_1 of a p-adic group ring II. The determinantal kernel SK_1

T. Chinburg, G. Pappas, M. J. Taylor

We describe the group SK_1(R[G]) for group rings R[G] where G is an arbitrary finite group and where the coefficient ring R is a p-adically complete Noetherian integral domain of c…

math.NT2013

Derived category invariants and L-series

Philippe Cassou-Noguès, Ted Chinburg, Boas Erez +1

We relate invariants in derived categories associated to tame actions of finite groups on projective varieties over a finite field to zeros of L-functions

math.AG2012★ 8 cited

Higher adeles and non-abelian Riemann-Roch

T. Chinburg, G. Pappas, M. J. Taylor

We show a Riemann-Roch theorem for group ring bundles over an arithmetic surface; this is expressed using the higher adeles of Beilinson-Parshin and the tame symbol via a theory of…

math.AG2012

Finite Morphisms to Projective Space and Capacity Theory

Ted Chinburg, Laurent Moret-Bailly, Georgios Pappas +1

We study conditions on a commutative ring R which are equivalent to the following requirement; whenever X is a projective scheme over S = Spec(R) of fiber dimension \leq d for some…