This three-volume work contains articles collected on the occasion of Alexander Grothendieck?s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world?s greatest living mathematicians. Many of the...
This three-volume work contains articles collected on the occasion of Alexander Grothendieck?s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world?s greatest living mathematicians. Many of the...
This three-volume work contains articles collected on the occasion of Alexander Grothendieck?s sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world?s greatest living mathematicians. Many of the...
It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "pure" algebro-geometric families of character sums over finite...
Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study n th order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which...
This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients,...
The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligneâs work on the Weil Conjectures. It now...
This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova" in 1829, and the modern theory was erected...