This book is intended for self-study or as a textbook for graduate students or advanced undergraduates. It presupposes some basic knowledge of point-set topology and a solid foundation in linear...
... Selected Topics in Discrete Mathematics : Proceedings of the Moscow Discrete Mathematics Seminar , 1972-1990 157 M. Sh . Birman , Editor , Wave Propagation . Scattering Theory 156 V. N. Gerasimov , N. G. Nesterenko , and A. I. Valitskas ...
... category of pure motives is conjectured to be semi-simple (see (28). More generally, one expects a larger abelian category of mixed motives. Mixed motives M have increasing weight filtrations W.M which are preserved by the realization ...
The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof.
By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definition of schemes and describes some of their elementary properties.
This collection presents some of the conference highlights, dealing with various and significant topics of differential and algebraic geometry, while exploring their connections to number theory and mathematical physics.
This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities.
These notes are based on a series of lectures given at the Tata Institute of Fundamental Research, Mumbai, in 2007, on the theme of Hodge theoretic motives associated to various geometric objects.
The proceedings volume from the March 1996 conference is dedicated to the late Bob Thomason, one of the leading research mathematicians specializing in algebraic K-theory.