Motivated by some notorious open problems, such as the Jacobian conjecture and the tame
generators problem, the subject of polynomial automorphisms has become a rapidly …

The theory of D-modules is a rich area of study combining ideas from algebra and
differential equations, and it has significant applications to diverse areas such as singularity …

" Brings to the reader a huge amount of information, well organized and condensed into less
than two hundred pages."—Mathematical Reviews In recent decades twistor theory has …

Masaki Kashiwara is undoubtedly one of the masters of the theory of $ D $-modules, and he
has created a good, accessible entry point to the subject. The theory of $ D $-modules is a …

CHAPTER II Zariskian Filtrations Page 1 CHAPTER II Zariskian Filtrations §1. Flatness of
Completion 1.1. Artin-Rees property on filtrations Let R be an arbitrary filtered ring with …

Algebraic study of systems of partial differential equations Page 1 MÉMOIRES DE LA SMF
MASAKI KASHIWARA Algebraic study of systems of partial differential equations Mémoires de …

This book, the first printing of which was published as volume 38 of the Encyclopaedia of
Mathematical Sciences, presents a modern approach to homological algebra, based on the …

The resurgent function theory introduced by J. Ecalle is one of the most interesting theories
in mathematical analysis. In essence, the theory provides a resummation method for …

There is no need for a lengthy summary of the material in this book; a look at the table of
contents should give a first idea of what it is about; details are provided in the introductions …

We consider an algebraic D-module M on the affine space, ie a system of linear partial
differential equations with polynomial coefficients. We give an algorithm for computing the …