M. Matsumoto

activity

19982003

collaborators

4 papers

math.NT2003

Galois actions on fundamental groups of curves and the cycle $C - C^{-}$

Richard Hain, Makoto Matsumoto

Suppose that C is a smooth, projective, geometrically connected curve of genus g > 2 defined over a number field K. Suppose that x is a K-rational point of C. Denote the Lie algebr…

math.AG2000

Tannakian Fundamental Groups Associated to Galois Groups

Richard Hain, Makoto Matsumoto

This should be the final version of this paper. Numberous minor improvements have been made to the manuscript, one argument has been corrected, and an appendix has been added.

math.AG2000

Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P^1 - {0,1,infinity}

Richard Hain, Makoto Matsumoto

This is a revision of the paper that was previously entitled "Weighted Completion of Galois Groups and Some Conjectures of Deligne". Fix a prime number $ł$ . We prove a conjecture s…

solv-int1998

Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems

Valery S. Dryuma, Makoto Matsumoto

A two dimensional Finsler space associated with the differential equation $y^{''} = Y_{3} y^{'3} + Y_{2} y^{'2} + Y_{1} y^{'} + Y_{0}$ is characterized by a tensor equation and called the Douglas space. An…

Galois actions on fundamental groups of curves and the cycle C−C−

Tannakian Fundamental Groups Associated to Galois Groups

Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P^1 - {0,1,infinity}

Finsler-Geometrical Approach to the Studying of Nonlinear Dynamical Systems

Galois actions on fundamental groups of curves and the cycle $C - C^{-}$