Saponins (Chemistry and Pharmacology of Natural Products)

This book is a timely incursion into the field and provides information about occurrence and distribution, structural types, isolation, analysis and structure determination of saponins. Biological and pharmacological activities are discussed, as are aspects of commerical and industrial use. Numerous examples are presented, providing a valuable source of data for the different classes of compound. There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number theory and algebraic geometry. This 1995 book is concerned with the arithmetic of diagonal hypersurfaces over finite fields, with special focus on the Tate conjecture and the Lichtenbaum-Milne formula for the central value of the L-function. It combines theoretical and numerical work, and includes tables of Picard numbers. Although this book is aimed at experts, the authors have included some background material to help non-specialists gain access to the results