This book presents papers that originally appeared in the Japanese journal Sugaku from the Mathematical Society of Japan. The papers explore the relationship between number theory and algebraic geometry.

Readership

Advanced graduate students and research mathematicians.

Table of Contents

• J.-i. Igusa -- On local zeta functions
• K. Nishioka -- Mahler functions and transcendental numbers
• K. Kato -- Generalizations of class field theory
• M. Miyanishi -- Recent topics on open algebraic surfaces
• T. Oda -- Recent topics on toric varieties