Hiraku Kawanoue

activity

20062025

most citedToward resolution of singularities over a field of positive characteristic (The Idealistic Filtration Program) Part II. Basic invariants associated to the idealistic filtration and their properties

8 citations · 27 across the 10 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.CO2024

On the extended Catalan arrangement of type $B_{ℓ}$

Hiraku Kawanoue

We give an explicit formula for the generators of the logarithmic vector field of the coning of the extended Catalan arrangement of type $B_{ℓ}$ .

math.CO2024

Cokernels of the Euler restriction map of logarithmic derivation modules

Takuro Abe, Hiraku Kawanoue

There are two restriction maps of the logarithmic modules of plane arrangements in a three dimensional vector space. One is the Euler restriction and the other is the Ziegler restr…

math.NT2024★ 1 cited

On Abel's Problem about Logarithmic Integrals in Positive Characteristic

Florian Fürnsinn, Herwig Hauser, Hiraku Kawanoue

Linear differential equations with polynomial coefficients over a field $K$ of positive characteristic $p$ with local exponents in the prime field have a basis of solutions in the…

On the extended Catalan arrangement of type Bℓ​

Cokernels of the Euler restriction map of logarithmic derivation modules

On Abel's Problem about Logarithmic Integrals in Positive Characteristic

On the extended Catalan arrangement of type $B_{ℓ}$