Directions and Other Topics in Galois-geometries
Author : Takáts Marcella
Publisher :
Page : 95 pages
File Size : 47,57 MB
Release : 2014
Category :
ISBN :
Author : Takáts Marcella
Publisher :
Page : 95 pages
File Size : 47,57 MB
Release : 2014
Category :
ISBN :
Author : Jean-Pierre Serre
Publisher : CRC Press
Page : 120 pages
File Size : 18,61 MB
Release : 2016-04-19
Category : Mathematics
ISBN : 1439865256
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 results, such as the Scholz and Reichardt constructi
Author : Ruth Ingrid Michler
Publisher : American Mathematical Soc.
Page : 254 pages
File Size : 43,57 MB
Release : 2003
Category : Mathematics
ISBN : 0821832093
This book presents the proceedings of two conferences, Resolution des singularites et geometrie non commutative and the Annapolis algebraic geometry conference. Research articles in the volume cover various topics of algebraic geometry, including the theory of Jacobians, singularities, applications to cryptography, and more. The book is suitable for graduate students and research mathematicians interested in algebraic geometry.
Author : Teresa Crespo
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 48,53 MB
Release : 2011
Category : Computers
ISBN : 082185318X
Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories, computational aspects, model theoretic approaches, applications to classical and quantum mechanics as well as to other mathematical areas such as number theory. This book intends to introduce the reader to this subject by presenting Picard-Vessiot theory, i.e. Galois theory of linear differential equations, in a self-contained way. The needed prerequisites from algebraic geometry and algebraic groups are contained in the first two parts of the book. The third part includes Picard-Vessiot extensions, the fundamental theorem of Picard-Vessiot theory, solvability by quadratures, Fuchsian equations, monodromy group and Kovacic's algorithm. Over one hundred exercises will help to assimilate the concepts and to introduce the reader to some topics beyond the scope of this book. This book is suitable for a graduate course in differential Galois theory. The last chapter contains several suggestions for further reading encouraging the reader to enter more deeply into different topics of differential Galois theory or related fields.
Author : Felipe Cano
Publisher : Springer Nature
Page : 500 pages
File Size : 49,10 MB
Release :
Category :
ISBN : 3031541723
Author : Dino Lorenzini
Publisher : American Mathematical Society
Page : 397 pages
File Size : 45,13 MB
Release : 2021-12-23
Category : Mathematics
ISBN : 1470467259
Extremely carefully written, masterfully thought out, and skillfully arranged introduction … to the arithmetic of algebraic curves, on the one hand, and to the algebro-geometric aspects of number theory, on the other hand. … an excellent guide for beginners in arithmetic geometry, just as an interesting reference and methodical inspiration for teachers of the subject … a highly welcome addition to the existing literature. —Zentralblatt MATH The interaction between number theory and algebraic geometry has been especially fruitful. In this volume, the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book. Extensive examples are given to illustrate each new concept, and many interesting exercises are given at the end of each chapter. Most of the important results in the one-dimensional case are proved, including Bombieri's proof of the Riemann Hypothesis for curves over a finite field. While the book is not intended to be an introduction to schemes, the author indicates how many of the geometric notions introduced in the book relate to schemes, which will aid the reader who goes to the next level of this rich subject.
Author : André Weil
Publisher :
Page : 363 pages
File Size : 12,18 MB
Release : 1946
Category : Geometry, Algebraic
ISBN : 9781470431761
This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.
Author : Dorian Goldfeld
Publisher : Springer Science & Business Media
Page : 715 pages
File Size : 16,55 MB
Release : 2011-12-20
Category : Mathematics
ISBN : 1461412595
In honor of Serge Lang’s vast contribution to mathematics, this memorial volume presents articles by prominent mathematicians. Reflecting the breadth of Lang's own interests and accomplishments, these essays span the field of Number Theory, Analysis and Geometry.
Author : Beniamino Segre
Publisher :
Page : 104 pages
File Size : 42,76 MB
Release : 1967
Category : Galois theory
ISBN :
Author : Marie José Bertin
Publisher : Springer
Page : 215 pages
File Size : 32,89 MB
Release : 2015-09-22
Category : Mathematics
ISBN : 331917987X
Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Europe” (WINE), held on October 14–18, 2013 at the CIRM-Luminy mathematical conference center in France. While containing contributions covering a wide range of cutting-edge topics in number theory, the volume emphasizes those concrete approaches that make it possible for graduate students and postdocs to begin work immediately on research problems even in highly complex subjects.