188 citations · 191 across the 5 of their papers we have counts for
4 papers · 1 filter
Compactifications of S-arithmetic quotients for the projective general linear group
Takako Fukaya, Kazuya Kato, Romyar Sharifi
Let F be a global field, and let S be a finite set of places of F containing all archimedean places. Consider the product X of the symmetric spaces and Bruhat-Tits buildings for PG…
Modular symbols and the integrality of zeta elements
Takako Fukaya, Kazuya Kato, Romyar Sharifi
We consider modifications of Manin symbols in first homology groups of modular curves with p-adic integer coefficients for an odd prime p. We show that these symbols generate homol…
Modular symbols in Iwasawa theory
Takako Fukaya, Kazuya Kato, Romyar Sharifi
This survey paper is focused on a connection between the geometry of and the arithmetic of over global fields, for integers . For $d =…
The GL_2 main conjecture for elliptic curves without complex multiplication
J. Coates, T. Fukaya, K. Kato +2
The main conjectures of Iwasawa theory provide the only general method known at present for studying the mysterious relationship between purely arithmetic problems and the special…