Hidetaka Kitayama

activity

20092020

most citedQuasi-monomial actions and some 4-dimensional rationality problems

4 citations · 7 across the 8 of their papers we have counts for

collaborators

8 papers

math.AG2020

Rationality problem of two-dimensional quasi-monomial group actions

Akinari Hoshi, Hidetaka Kitayama

The rationality problem of two-dimensional purely quasi-monomial actions was solved completely by Hoshi, Kang and Kitayama [HKK]. As a generalization, we solve the rationality prob…

math.AG2018

A two-dimensional rationality problem and intersections of two quadrics

Akinari Hoshi, Ming-chang Kang, Hidetaka Kitayama +1

Let $k$ be a field with char $k \neq = 2$ and $k$ be not algebraically closed. Let $a \in k ∖ k^{2}$ and $L = k (a) (x, y)$ be a field extension of $k$ where $x, y$ are algebraic…

math.AG2015★ 3 cited

Three-dimensional purely quasi-monomial actions

Akinari Hoshi, Hidetaka Kitayama

Let $G$ be a finite subgroup of $Aut_{k} (K (x_{1}, \dots, x_{n}))$ where $K / k$ is a finite field extension and $K (x_{1}, \dots, x_{n})$ is the rational function field with $n$ variab…

math.NT2012★ 4 cited

Quasi-monomial actions and some 4-dimensional rationality problems

A. Hoshi, M. Kang, H. Kitayama

Let $G$ be a finite group acting on $k (x_{1}, ..., x_{n})$ , the rational function field of $n$ variables over a field $k$ . The action is called a purely monomial action if $σ...x_j=\prod…

math.NT2010

On the graded ring of Siegel modular forms of degree two with respect to a non-split symplectic group

Hidetaka Kitayama

We will give the graded ring of Siegel modular forms of degree two with respect to a non-split symplectic group explicitly.

math.NT2010

An explicit dimension formula for Siegel cusp forms with respect to the non-split symplectic groups

Hidetaka Kitayama

The purpose of this paper is to give an explicit dimension formula for the spaces of vector valued Siegel cusp forms of degree two with respect to a certain kind of arithmetic subg…