Lectures on N_X(p)
Topics in Galois Theory
Semigroups for Delay Equations
Computational Aspects of Polynomial Identities
Regular Sequences and Resultants
Polynomial Invariants of Finite Groups
The Atiyah-Patodi-Singer Index Theorem
Differential Algebras in Topology
November 03, 2011
Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic...
November 02, 2007
This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and...
Andras Batkai, Susanna Piazzera
May 09, 2005
In most physical, chemical, biological and economic phenomena it is quite natural to assume that the system not only depends on the present state but also on past occurrences. These circumstances are mathematically described by partial differential equations with delay. This book presents, in a...
Alexei Kanel-Belov, Louis Halle Rowen
February 22, 2005
A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation. The authors also cover codimension theory, starting with Regev's theorem and...
Gunter Scheja, Uwe Storch
May 18, 2001
This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings. Elimination theory is a classical topic in commutative algebra and algebraic geometry, and it has become of renewed importance recently in the context of...
November 15, 1997
This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Taniyama-Weil conjecture and Fermat's Last Theorem. The initial chapters are devoted to...
April 15, 1995
Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and Relative...
Richard Herman, Betül Tanbay
November 15, 1993
This volume records the proceedings of an international conference that explored recent developments and the interaction between mathematical theory and physical phenomena....
David Eisenbud, Craig Huneke
November 02, 1992
The selected contributions in this volume originated at the Sundance conference, which was devoted to discussions of current work in the area of free resolutions. The papers include new research, not otherwise published, and expositions that develop current problems likely to influence future...