Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Ki Ichiro Hashimoto"'
Publikováno v:
Acta Arithmetica. 187:219-232
Publikováno v:
Mathematics of Computation. 77:1153-1184
We study Noether's problem for various subgroups H of the normalizer ot a group C 8 generated by an 8-cycle in S 8 , the symmetric group of degree 8, in three aspects according to the way they act on rational function fields, i.e., Q(X 0 ,..., X 7 ),
Autor:
Ki Ichiro Hashimoto, Akinari Hoshi
Publikováno v:
Mathematics of Computation. 74:1519-1531
A general method of constructing families of cyclic polynomials over Q with more than one parameter will be discussed, which may be called a geometric generalization of the Gaussian period relations. Using this, we obtain explicit multi-parametric fa
This volume is an outgrowth of the research project'The Inverse Ga lois Problem and its Application to Number Theory'which was carried out in three academic years from 1999 to 2001 with the support of the Grant-in-Aid for Scientific Research (B) (1
Autor:
Ki Ichiro Hashimoto, Yuichi Rikuna
Publikováno v:
manuscripta mathematica. 107:283-288
We construct generic cyclic polynomials of even degree with two parameters. Our result, which is based on an affirmative solution for linear Noether's problem, corresponds to ``two-dimensional'' Kummer theory with base field descended to the maximal
Autor:
Ki-ichiro, Hashimoto
Publikováno v:
東北數學雜誌. Second series = Tohoku mathematical journal. Second series. 52(4):475-488
We reconstruct Brumer's family with 3-parameters of curves of genus two whose jacobian varieties admit a real multiplication of discriminant 5. Our method is based on the descent theory in geometric Galois theory which can be compared with a classica
Publikováno v:
International Journal of Mathematics. 10:1011-1036
Autor:
Hiroshi Tsunogai, Ki Ichiro Hashimoto
Publikováno v:
Mathematics of Computation. 68:1649-1662
An abelian surface A A is called a QM-abelian surface if its endomorphism ring includes an order of an indefinite quaternion algebra, and a curve C C of genus two is called a QM-curve if its jacobian variety is a QM-abelian surface. We give a computa
Autor:
Ki Ichiro Hashimoto
Publikováno v:
manuscripta mathematica. 98:165-182
We construct a parametric family {E(±)(s,t,u)} of minimal Q-curves of degree 5 over the quadratic fields Q\(\), and the family {C(s,t,u)} of genus two curves over Q covering E{(+)(s,t,u) whose jacobians are abelian surfaces of GL2-type. We also disc
Autor:
Ki-ichiro Hashimoto
Publikováno v:
Integral Quadratic Forms and Lattices. :261-302