26 citations · 91 across the 24 of their papers we have counts for
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math.AC2009★ 26 cited
Asymptotic regularity of powers of ideals of points in a weighted projective plane
Steven Dale Cutkosky, Kazuhiko Kurano
In this paper we study the asymptotic behavior of the regularity of symbolic powers of ideals of points in a weighted projective plane. By a result of Cutkosky, Ein and Lazarsfeld,…
math.AC2009★ 6 cited
Gorenstein isolated quotient singularities of odd prime dimension are cyclic
Kazuhiko Kurano, Shougo Nishi
Gorenstein isolated quotient singularities of odd prime dimension are cyclic. In the case where the dimension is bigger than 1 and is not an odd prime number, then there exist Gore…
math.AC2009★ 1 cited
Multigraded rings, diagonal subalgebras, and rational singularities
Kazuhiko Kurano, Ei-ichi Sato, Anurag K. Singh +1
We study the properties of F-rationality and F-regularity in multigraded rings and their diagonal subalgebras. The main focus is on diagonal subalgebras of bigraded rings: these co…