Kosuke Fukumuro

activity

20122022

most citedOn the stable Harbourne conjecture for ideals defining space monomial curves

1 citations · 2 across the 3 of their papers we have counts for

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math.AC2022★ 1 cited

On the stable Harbourne conjecture for ideals defining space monomial curves

Kosuke Fukumuro, Yuki Irie

For the ideal $p$ in $k [x, y, z]$ defining a space monomial curve, we show that $p^{(2 n - 1)} \subseteq m p^{n}$ for some positive inte…

math.AC2013★ 1 cited

Saturations of powers of certain determinantal ideals

Kosuke Fukumuro, Taro Inagawa, Koji Nishida

Let $R$ be a Noetherian local ring and $m$ a positive integer. Let $I$ be the ideal of $R$ generated by the maximal minors of an $m \times (m + 1)$ matrix $M$ with entries in $R$ .…

math.AC2013

On the symmetric and Rees algebras of certain determinantal ideals

kosuke Fukumuro

The purpose of this paper is to give an elementary proof to the theorem due to Avramov on certain determinantal ideals of linear type.

math.AC2012

On a transform of an acyclic complex of length 3

Kosuke Fukumuro, Taro Inagawa, Koji Nishida

Let (R, m) be a Cohen-Macaulay local ring and Q a parameter ideal of R. Suppose that an acyclic complex of length 3 which is an R-free resolution of an ideal I of R is given. In th…