Groebner Deformations of Hypergeometric Differential Equations by Saito, Mutsumi

ISBN: 9783540660651

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 01 Dec 1999

Hardback, 254 pages 

The theory of Groebner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Groebner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric PDE's introduced by Gelfand, Kapranov, and Zelevinsky. A number of original research results are contained in the book, and many open problems are raised for future research in this rapidly growing area of computational mathematics.