5 citations · 24 across the 12 of their papers we have counts for
10 papers · 1 filter
The algebraic -theory of the projective line associated with a strongly -graded ring
Thomas Huettemann, Tasha Montgomery
A Laurent polynomial ring with coefficients in a unital ring determines a category of quasi-coherent sheaves on the projective line over ; its -theory is known…
Triangular objects and systematic K-theory
Thomas Huettemann, Zuhong Zhang
We investigate modules over "systematic" rings. Such rings are "almost graded" and have appeared under various names in the literature; they are special cases of the G-systems of G…
Finite domination and Novikov rings. Laurent polynomial rings in several variables
Thomas Huettemann, David Quinn
We present a homological characterisation of those chain complexes of modules over a Laurent polynomial ring in several indeterminates which are finitely dominated over the ground…
Finite domination and Novikov rings. Laurent polynomial rings in two variables
Thomas Huettemann, David Quinn
Let C be a bounded cochain complex of finitely generated free modules over the Laurent polynomial ring L = R[x,1/x,y,1/y]. The complex C is called R-finitely dominated if it is hom…
Finite domination and Novikov rings. Iterative approach
Thomas Huettemann, David Quinn
Suppose C is a bounded chain complex of finitely generated free modules over the Laurent polynomial ring L = R[x,1/x]. Then C is R-finitely dominated, ie, homotopy equivalent over…
On Quillen's calculation of graded -theory
R. Hazrat, T. Huettemann
We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This…
A note on the graded K-theory of certain graded rings
Thomas Huettemann
Following ideas of Quillen it is shown that the graded K-theory of a Z^n-graded ring with support contained in a pointed cone is entirely determined by the K-theory of the subring…
A splitting result for the algebraic K-theory of projective toric schemes
Thomas Huettemann
Suppose X is a projective toric scheme defined over a commutative ring R equipped with an ample line bundle L. We prove that its K-theory has k+1 direct summands K(R) where k is mi…
On the derived category of a regular toric scheme
Thomas Huettemann
Let X be a quasi-compact scheme, equipped with an open covering by affine schemes. A quasi-coherent sheaf on X gives rise, by taking sections over the covering sets, to a diagram o…
K-Theory of non-linear projective toric varieties
Thomas Huettemann
By analogy with algebraic geometry, we define a category of non-linear sheaves (quasi-coherent homotopy-sheaves of topological spaces) on projective toric varieties and prove a spl…