KOMATSU, Keiichi

J-GLOBAL         Last updated: Mar 29, 2019 at 02:40
 
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Name
KOMATSU, Keiichi
Affiliation
Waseda University
Section
Faculty of Science and Engineering School of Fundamental Science and Engineering
Job title
Professor
Degree
(BLANK)
Research funding number
80092550

Research Areas

 
 

Education

 
 
 - 
1971
Faculty of Science and Engineering, Waseda University
 
 
 - 
1973
Graduate School, Division of Science and Engineering, Tokyo Institute of Technology
 

Published Papers

 
Weber's class number problem in the cyclotomic Z_2-extension of Q Ⅱ
Keiichi Komatsu and Takashi Fukuda
J. Theor. Nombres Bordeaux   22 359-368   2010
On the Iwasawa lamda-invariant of the cyclotomic Z_2-extension of Q(sqrt{p})
Keiichi Komatsu and Takashi Fukuda
Math. Comp.   78 1797-1808   2009
Weber's class number problem in the cyclotomic Z2-extension of Q
Keiichi Komatsu and Takashi Fukuda
Experimental Math.   18 213-222   2009
Iwasawa lamda-invariants and Mordel-Weil ranks of abelian varieties with complex multiplication,
T.Fukuda,k.Komatsu and S.Yamagata
Acta Arithmetica   127 305-307   2007
On the Iwasawa lambda-invariant of the cyclotomic Z2-extension of a real quadratic field
Keiichi Komatsu and Takashi Fukuda
Tokyo J. Math.   28(1) 259-264   2005

Research Grants & Projects

 
On Weber's class number one problem
Project Year: Apr 2012 - Mar 2015
Let p be a prime number, B_p,∞ the cyclotomic Z_p-extension of the rational number field Q, B_p,n the n-th layer of B_p,∞/Q and h_p,n the class number of B_p,n. We obtained the following:Let p be a prime number which is not congruent to 1 or -1 mo...
Project Year: 2007 - 2009
We studied the Noether's Problem, which asks the rationality of the fixed field of the rational function field of several variables over a given field, with respect to a given finite subgroup G of the Cremona group. We solved this problem affirmat...
Project Year: 2004 - 2006
We construct certain algebraic integers αm as special values of two variable theta functions in the ray class field of a certain quartic field modulo 2m, and study a property of prime i deals which appear in αm in connection to the relationships b...
Project Year: 2003 - 2005
Thanks to the current Grant-in-Aid, we were able to organize seven research workshops inviting the most active mathematicians on this field, through which we had many discussions on our subjects.
This enabled us to make a considerable developments...
Project Year: 2001 - 2003
In 1976, Coates and Wiles gave large improvement to Birch-Swinnerton-Dyer conjecture for some elliptic curves with complex multiplication by using elliptic units in abelian extensions of imaginary quadratic fields. Main purpose of car investigatio...