Charles A. Weibel

activity

20052026

most citedThe K-theory of toric varieties in positive characteristic

18 citations · 18 across the 2 of their papers we have counts for

collaborators

6 papers

math.KT2026

K-theory of Matroids and Monoid Schemes

Christian Haesemeyer, Charles A. Weibel

This paper continues the study of the $K$ -theory of monoid schemes, using it to give a useful definition of the higher $K$ -theory of a matroid via its Bergman fan.

math.AG2025

$K_{2}$ -regularity and normality

Christian Haesemeyer, Charles A. Weibel

We take a fresh look at the relationship between $K$ -regularity and regularity of schemes, proving two results in this direction. First, we show that $K_{2}$ -regular affine algebras…

math.KT2012★ 18 cited

The K-theory of toric varieties in positive characteristic

Guillermo Cortiñas, Christian Haesemeyer, Mark E. Walker +1

We show that if X is a toric scheme over a regular ring containing a field then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is ho…

math.KT2008

Bass' $N K$ groups and $c d h$ -fibrant Hochschild homology

G. Cortiñas, C. Haesemeyer, Mark E. Walker +1

The $K$ -theory of a polynomial ring $R [t]$ contains the $K$ -theory of $R$ as a summand. For $R$ commutative and containing $\Q$, we describe $K_{*} (R [t]) / K_{*} (R)$ in terms of Hochschi…

math.KT2006

K-regularity, cdh-fibrant Hochschild homology, and a conjecture of Vorst

G. Cortiñas, C. Haesemeyer, C. A. Weibel

In this paper we prove that for an affine scheme essentially of finite type over a field $F$ and of dimension $d$ , $K_{d + 1}$ -regularity implies regularity, assuming that the charac…

math.KT2005

Cyclic homology, cdh-cohomology and negative K-theory

G. Cortiñas, C. Haesemeyer, M. Schlichting +1

We prove a blow-up formula for cyclic homology which we use to show that infinitesimal $K$ -theory satisfies $c d h$ -descent. Combining that result with some computations of the $c d h$ …