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math.AC2007★ 1 cited
A local ring such that the map between Grothendieck groups with rational coefficient induced by completion is not injective
Kazuhiko Kurano, Vasudevan Srinivas
In this paper, we construct a local ring such that the kernel of the map $G_0(A)\subq \to G_0(\hat{A})\subq$ is not zero, where is the comletion of with respect t…
math.AC2005
The singular Riemann-Roch theorem and Hilbert-Kunz functions
Kazuhiko Kurano
In the paper, by the singular Riemann-Roch theorem, it is proved that the class of the e-th Frobenius power can be described using the class of the canonical module for a normal lo…
math.AC2002★ 1 cited
Todd classes of affine cones of Grassmannians
Kazuhiko Kurano, Anurag K. Singh
A local ring R is said to be a Roberts ring if tau_R([R]) = [Spec R]_dim R, where tau_R is the Riemann-Roch map for Spec R. Such rings satisfy a vanishing theorem for the Serre int…