Decker W Computing in Algebraic Geometry A Quick Start using SINGULAR 2006 | 1.71 MB
N/A | 344 Pages

Title: Computing in Algebraic Geometry: A Quick Start using SINGULAR
Author: Wolfram Decker, Christoph Lossen
Year: N/A

Free Download Topological Methods in Algebraic Geometry: Reprint of the 1978 Edition by Friedrich Hirzebruch
English | PDF | 1995 | 244 Pages | ISBN : 3540586636 | 20.22 MB
In recent years new topological methods, especially the theory of sheaves founded by J. LERAY, have been applied successfully to algebraic geometry and to the theory of functions of several complex variables. H. CARTAN and J. -P. SERRE have shown how fundamental theorems on holomorphically complete manifolds (STEIN manifolds) can be for mulated in terms of sheaf theory. These theorems imply many facts of function theory because the domains of holomorphy are holomorphically complete. They can also be applied to algebraic geometry because the complement of a hyperplane section of an algebraic manifold is holo morphically complete. J. -P. SERRE has obtained important results on algebraic manifolds by these and other methods. Recently many of his results have been proved for algebraic varieties defined over a field of arbitrary characteristic. K. KODAIRA and D. C. SPENCER have also applied sheaf theory to algebraic geometry with great success.

Free Download Rational Algebraic Curves: A Computer Algebra Approach by J. Rafael Sendra , Franz Winkler , Sonia Pérez-Díaz
English | PDF (True) | 2008 | 273 Pages | ISBN : 3540737243 | 3.68 MB
Algebraic curves and surfaces are an old topic of geometric and algebraic investigation. They have found applications for instance in ancient and m- ern architectural designs, in number theoretic problems, in models of b- logical shapes, in error-correcting codes, and in cryptographic algorithms. Recently they have gained additional practical importance as central objects in computer-aided geometric design. Modern airplanes, cars, and household appliances would be unthinkable without the computational manipulation of algebraic curves and surfaces. Algebraic curves and surfaces combine fas- nating mathematical beauty with challenging computational complexity and wide spread practical applicability.

Free Download Positivity in Algebraic Geometry I: Classical Setting: Line Bundles and Linear Series by Robert Lazarsfeld
English | PDF | 2004 | 395 Pages | ISBN : 3540225331 | 2.5 MB
This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments.

Free Download Methods of Algebraic Geometry in Control Theory: Part II Multivariable Linear Systems and Projective Algebraic Geometry by Peter Falb
English | PDF | 1999 | 382 Pages | ISBN : 0817641130 | 24.1 MB
"Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations. The aim of this book is to provide access to the methods of algebraic geometry for engineers and applied scientists through the motivated context of control theory" .* The development which culminated with this volume began over twenty-five years ago with a series of lectures at the control group of the Lund Institute of Technology in Sweden. I have sought throughout to strive for clarity, often using constructive methods and giving several proofs of a particular result as well as many examples. The first volume dealt with the simplest control systems (i.e., single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i.e., affine algebraic geometry).

Free Download Introduction to Coding Theory and Algebraic Geometry by Jacobus H. Lint , Gerard Geer
English | PDF | 1988 | 82 Pages | ISBN : 3034899793 | 8.1 MB
These notes are based on lectures given in the semmar on "Coding Theory and Algebraic Geometry" held at Schloss Mickeln, Diisseldorf, November 16-21, 1987. In 1982 Tsfasman, Vladut and Zink, using algebraic geometry and ideas of Goppa, constructed a seqeunce of codes that exceed the Gilbert-Varshamov bound. The result was considered sensational.

Free Download Conjectures in Arithmetic Algebraic Geometry: A Survey by Wilfred W. J. Hulsbergen
English | PDF | 1992 | 246 Pages | ISBN : 3528064331 | 11.1 MB
In this expository paper we sketch some interrelations between several famous conjectures in number theory and algebraic geometry that have intrigued mathematicians for a long period of time. Starting from Fermat's Last Theorem one is naturally led to intro- duce L-functions, the main motivation being the calculation of class numbers. In particular, Kummer showed that the class numbers of cyclotomic fields playa decisive role in the corroboration of Fermat's Last Theorem for a large class of exponents. Before Kummer, Dirich- let had already successfully applied his L-functions to the proof of the theorem on arithmetic progressions.

Free Download Algebraic Methods for Signal Processing and Communications Coding by Richard E. Blahut
English | PDF | 1992 | 150 Pages | ISBN : 146127687X | 16 MB
Algorithms for computation are a central part of both digital signal pro cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations. Digital signal processing is now an established subject in its own right; it no longer needs to be viewed as a digitized version of analog signal process ing.

Free Download Algebraic Coding Theory Over Finite Commutative Rings by Steven T. Dougherty
English | PDF | 2017 | 109 Pages | ISBN : 3319598058 | 1.5 MB
This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject.

Adhikari M Basic Topology 3 Algebraic Topology Topology of Fiber Bundles 2022 | 13.04 MB
N/A | 523 Pages

Title: Basic Topology 1
Author: Avishek Adhikari
Year: 2019