General Galois Geometries (Oxford Mathematical Monographs)
| Author | : | |
| Rating | : | 4.84 (976 Votes) |
| Asin | : | 0198535376 |
| Format Type | : | paperback |
| Number of Pages | : | 424 Pages |
| Publish Date | : | 2016-02-12 |
| Language | : | English |
DESCRIPTION:
"General Galois Geometries" according to A Customer. An excellent book covering three themes: 1) Properties of algebraic varieties over a finite field; b) the determination of various contants arising from the combinarotics of Galois spaces and c) the identification in Galois spaces of various incidence structu
All this makes it possible for the reader to access results and follow arguments in any section with a minimal amount of back referencing to earlier sections, chapters or volumes. "Generally speaking, every topic introduced in these volumes is treated with comprehensive thoroughness, mainly by using a concrete computational approach, and results are recorded with meticulous care. Taken together, these volumes constitute a monumental work of scholarship and are likely to be the standard reference in Galois geometry for the forseeable future."--Mathematical Reviews
It is essentially self-contained and will be an invaluable companion for research workers and post-graduate students working on these topics. This volume is the culmination of a three volume treatise on this subject. With its companion volumes (Projective Geometries Over Finite Fields and Finite Projective Spaces of Three Dimensions) this work will provide a major reference to the subject. The topics covered find application across a wide-range of topics in pure mathematics. In particular, much attention is devoted to hermitian varieties, to Grassmannian varieties, and to polar spaces. The authors study three main themes: the study of algebraic varieties over finite fields, the combinatorics of Galois geometries, and the identification of vario