18 citations · 41 across the 15 of their papers we have counts for
14 papers · 1 filter
K-theory of Matroids and Monoid Schemes
Christian Haesemeyer, Charles A. Weibel
This paper continues the study of the -theory of monoid schemes, using it to give a useful definition of the higher -theory of a matroid via its Bergman fan.
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…
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…
Toric varieties, monoid schemes and descent
Guillermo Cortiñas, Christian Haesemeyer, Mark E. Walker +1
We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties in any characteristic, using the theory of monoid scheme…