This book presents papers that originally appeared in the Japanese journal Sugaku. The papers explore the relationship between number theory, algebraic geometry, and differential geometry.

Readership

Research mathematicians.

Table of Contents

• T. Sunada -- On the number-theoretic method in geometry: Geometric analogue of zeta and \(L\)-functions and its applications
• T. Sunada -- Fundamental groups and Laplacians
• M. Koike -- Moonshine: A mysterious relationship between simple groups and automorphic functions
• M. Saito -- On the theory of mixed Hodge modules
• A. Futaki -- Integral invariants in Kähler geometry
• H. Nakajima -- A convergence theorem for Einstein metrics and the ALE spaces
• M. Ue -- On the topology of elliptic surfaces--a survey
• H. Hida -- Modular \(p\)-adic \(L\)-functions and \(p\)-adic Hecke algebras