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K-theory of cones of smooth varieties
(Univ Press Inc, 2013-02)
Let R be the homogeneous coordinate ring of a smooth projective variety X over a field k of characteristic 0. We calculate the K-theory of R in terms of the geometry of the projective embedding of X. In particular, if X ...
On the K-theory of Z-categories
(arXiv, 2022)
We relate the notions of Noetherian, regular coherent and regular n-coherent category for Z-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing ...
K-theory of n-coherent rings
(World Scientific Publishing Company, 2023)
Let R be a strong n-coherent ring such that each finitely n-presented R-module has finite projective dimension. We consider FPₙ(R) the full subcategory of R-Mod of finitely n-presented modules. We prove that FPₙ(R) is an ...
A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies
(Springereditorial@springerplus.com, 2020)
Singular coefficients in the K-theoretic Farrell-Jones conjecture
(Mathematical Sciences Publishers, 2016-02)
Let G be a group and let k be a field of characteristic zero. We prove that if the Farrell-Jones conjecture for the K-theory of R [G] is satisfied for every smooth k -algebra R, then it is also satisfied for every commutative ...
New developments in cosmology and gravitation from extended theories of general relativity
(2014)
[No abstract available]
New developments in cosmology and gravitation from extended theories of general relativity
(2014)
[No abstract available]
Liouville theory and logarithmic solutions to knizhnik-zamolodchikov equation
(World Scientific, 2005-12)
We study a class of solutions to the SL(2, ℝ)k Knizhnik-Zamolodchikov equation. First, logarithmic solutions which represent four-point correlation functions describing string scattering processes on three-dimensional ...
A note on some new classes of constitutive relations for elastic bodies
(Oxford University Press, 2014)
The class of elastic bodies, that is bodies incapable of dissipation in whatever motion that they undergo,
has been significantly enlarged recently (see Rajagopal 2003, On implicit constitutive theories. Appl.
Math., 48, ...