Twelve Papers on Algebra. Algebraic Geometry and Topology
Author : S. N. Cernikov
Publisher :
Page : 258 pages
File Size : 17,8 MB
Release : 1969
Category :
ISBN :
Algebraic Geometry
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 511 pages
File Size : 14,49 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1475738498
Book Description
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.
Undergraduate Algebraic Geometry
Author : Miles Reid
Publisher : Cambridge University Press
Page : 144 pages
File Size : 47,78 MB
Release : 1988-12-15
Category : Mathematics
ISBN : 9780521356626
Book Description
Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time. With the minimum of prerequisites, Dr Reid introduces the reader to the basic concepts of algebraic geometry including: plane conics, cubics and the group law, affine and projective varieties, and non-singularity and dimension. He is at pains to stress the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book arises from an undergraduate course given at the University of Warwick and contains numerous examples and exercises illustrating the theory.
Twelve Papers on Algebra, Algebraic Geometry and Topology
Author : S. N. Cernikov
Publisher :
Page : 281 pages
File Size : 31,51 MB
Release : 1969
Category :
ISBN : 9781470432959
Book Description
Selected topics in discrete mathematics: Proceedings of the Moscow Discrete Mathematics Seminar, 1972-1990
Author : Alexander K. Kelmans
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 43,43 MB
Release : 1994-02-18
Category : Mathematics
ISBN : 9780821895924
Book Description
This is a collection of translations of a variety of papers on discrete mathematics by members of the Moscow Seminar on Discrete Mathematics. This seminar, begun in 1972, was marked by active participation and intellectual ferment. Mathematicians in the USSR often encountered difficulties in publishing, so many interesting results in discrete mathematics remained unknown in the West for some years, and some are unknown even to the present day. To help fill this communication gap, this collection offers papers that were obscurely published and very hard to find. Among the topics covered here are: graph theory, network flow and multicommodity flow, linear programming and combinatorial optimization, matroid theory and submodular systems, matrix theory and combinatorics, parallel computing, complexity of algorithms, random graphs and statistical mechanics, coding theory, and algebraic combinatorics and group theory.
Second Siberian Winter School "Algebra and Analysis"
Author : Igorʹ Aleksandrovich Aleksandrov
Publisher : American Mathematical Soc.
Page : 156 pages
File Size : 35,79 MB
Release : 1992
Category : Mathematics
ISBN : 9780821831427
Book Description
This book, the second in the series of porceedings of Soviet Regional Conferences, contains papers presented at the Second Siberian Winter School; Algebra and Analysis, held at Tomsk State University in 1989. The papers touch on a variety of topics, including Lie algebras and Lie groups, sheaves, and automorphic forms.
Arakelov Geometry
Author : Atsushi Moriwaki
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 20,4 MB
Release : 2014-11-05
Category : Mathematics
ISBN : 1470410745
Book Description
The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry, i.e., the study of big linear series on algebraic varieties. After explaining classical results about the geometry of numbers, the author starts with Arakelov geometry for arithmetic curves, and continues with Arakelov geometry of arithmetic surfaces and higher-dimensional varieties. The book includes such fundamental results as arithmetic Hilbert-Samuel formula, arithmetic Nakai-Moishezon criterion, arithmetic Bogomolov inequality, the existence of small sections, the continuity of arithmetic volume function, the Lang-Bogomolov conjecture and so on. In addition, the author presents, with full details, the proof of Faltings' Riemann-Roch theorem. Prerequisites for reading this book are the basic results of algebraic geometry and the language of schemes.
Ordered Sets and Lattices II
Author :
Publisher : American Mathematical Soc.
Page : 262 pages
File Size : 20,27 MB
Release :
Category : Mathematics
ISBN : 9780821895887
Book Description
This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.
Wave propagation. Scattering theory
Author : M. Sh Birman
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 43,46 MB
Release : 1993-12-20
Category : Group theory
ISBN : 9780821895917
Book Description
The papers in this collection were written primarily by members of the St. Petersburg seminar in mathematical physics. The seminar, now run by O. A. Ladyzhenskaya, was initiated in 1947 by V. I. Smirnov, to whose memory this volume is dedicated. The papers in the collection are devoted mainly to wave propagation processes, scattering theory, integrability of nonlinear equations, and related problems of spectral theory of differential and integral operators. The book is of interest to mathematicians working in mathematical physics and differential equations, as well as to physicists studying various wave propagation processes.
Singularity Theory and Some Problems of Functional Analysis
Author : Semen Grigorʹevich Gindikin
Publisher : American Mathematical Soc.
Page : 212 pages
File Size : 16,68 MB
Release : 1992
Category : Singularities (Mathematics).
ISBN : 9780821875025
Book Description
The emergence of singularity theory marks the return of mathematics to the study of the simplest analytical objects: functions, graphs, curves, surfaces. The modern singularity theory for smooth mappings, which is currently undergoing intensive developments, can be thought of as a crossroad where the most abstract topics (such as algebraic and differential geometry and topology, complex analysis, invariant theory, and Lie group theory) meet the most applied topics (such as dynamical systems, mathematical physics, geometrical optics, mathematical economics, and control theory). The papers in this volume include reviews of established areas as well as presentations of recent results in singularity theory. The authors have paid special attention to examples and discussion of results rather than burying the ideas in formalism, notation, and technical details. The aim is to introduce all mathematicians - as well as physicists, engineers, and other consumers of singularity theory - to the world of ideas and methods in this burgeoning area.
