20 citations · 58 across the 27 of their papers we have counts for
21 papers · 1 filter
Module structure of the -theory of polynomial-like rings
Christian Haesemayer, Charles Weibel
Suppose is a submonoid of a lattice, not containing a line. In this note, we use the natural -grading on the monoid algebra to prove structural results about the rela…
Localization, monoid sets and K-theory
Ian Coley, Charles Weibel
We develop the K-theory of sets with an action of a pointed monoid (or monoid scheme), analogous to the -theory of modules over a ring (or scheme). In order to form localization…
The Witt group of real surfaces
Max Karoubi, Charles Weibel
Let be an algebraic variety defined over , and the space of its complex points. We compare the algebraic Witt group of symmetric bilinear forms on v…
The - theory of monoid sets
Christian Haesemeyer, Charles A. Weibel
This paper studies the K-theory of categories of partially cancellative monoid sets, which is better behaved than that of all finitely generated monoid sets. A number of foundation…
K-theory of line bundles and smooth varieties
Christian Haesemeyer, Charles A. Weibel
We give a -theoretic criterion for a quasi-projective variety to be smooth. If is a line bundle corresponding to an ample invertible sheaf on , it suffices that…
The -theory of toric schemes over regular rings of mixed characteristic
Guillermo Cortiñas, Christian Haesemeyer, Mark E. Walker +1
We show that if is a toric scheme over a regular commutative ring then the direct limit of the -groups of taken over any infinite sequence of nontrivial dilations is…