5 citations · 7 across the 7 of their papers we have counts for
7 papers
-retract Rationality and Norm One Tori
Kazuki Sato
We study whether the norm one torus associated with a finite separable non-Galois field extension is -retract rational over for a prime , focusing on the case where…
Automorphism Group of the Holomorph of a Cyclic Group
Kazuki Sato
We show that the holomorph of a cyclic group of order is isomorphic to its own automophism group when is twice of a power of an odd prime.
FUGIN hot core survey. I. Survey method and initial results for
Kazuki Sato, Tetsuo Hasegawa, Tomofumi Umemoto +4
We have developed a method to make a spectral-line-based survey of hot cores, which represent an important stage of high-mass star formation, and applied the method to the data of…
Error Analysis of Approximate Operators for a Particle Method based on Voronoi Diagram
Hajime Koba, Kazuki Sato
This paper considers several approximate operators used in a particle method based on a Voronoi diagram. We introduce and study our approximate operators on gradient and Laplace op…
Energetic variational approaches for non-Newtonian fluid systems
Hajime Koba, Kazuki Sato
We consider the dominant equations for the motion of the non-Newtonian fluid in a domain from an energetic point of view. We apply our energetic variational approaches and the firs…
Rational Points on Diagonal Cubic Surfaces
Kazuki Sato
We show under the assumption that the Tate-Shafarevich group of any elliptic curve over the rational numbers is finite that the cubic surface $x_1^3 + p_1p_2x_2^3 + p_2p_3x_3^3 + p…
Hasse principle for the Chow groups on quadric fibrations
Kazuki Sato
We give a sufficient condition for the injectivity of the global-to-local map of the relative Chow group of zero-cycles on a quadric fibration of dimension 2 or 3 defined over a nu…