Miyanishi M Affine Algebraic Geometry Geometry Of Polynomial Rings 2024 | 10.24 MB
N/A | 441 Pages

Title: Affine Algebraic Geometry : Geometry of Polynomial Rings (441 Pages)
Author: Masayoshi Miyanishi
Year: N/A

Free Download Mee Seong Im, "Algebraic and Topological Aspects of Representation Theory"
English | ISBN: 1470470349 | 2024 | 232 pages | PDF | 4 MB
This volume contains the proceedings of the virtual AMS Special Session on Geometric and Algebraic Aspects of Quantum Groups and Related Topics, held from November 20-21, 2021. Noncommutative algebras and noncommutative algebraic geometry have been an active field of research for the past several decades, with many important applications in mathematical physics, representation theory, number theory, combinatorics, geometry, low-dimensional topology, and category theory. Papers in this volume contain original research, written by speakers and their collaborators. Many papers also discuss new concepts with detailed examples and current trends with novel and important results, all of which are invaluable contributions to the mathematics community.

Free Download Algebraic Cycles, Sheaves, Shtukas, and Moduli: Impanga Lecture Notes by Piotr Pragacz
English | PDF (True) | 2008 | 240 Pages | ISBN : 3764385367 | 2.1 MB
The articles in this volume are devoted to:

Free Download Algebraic Aspects of Cryptography by Neal Koblitz
English | PDF | 1998 | 214 Pages | ISBN : 3540634460 | 20.2 MB
This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic concepts and techniques. Here my approach is intuitive and informal. For example, the treatment of computational complexity in Chapter 2, while lacking formalistic rigor, emphasizes the aspects of the subject that are most important in cryptography. Chapters 4-6 and the Appendix contain material that for the most part has not previously appeared in textbook form. A novel feature is the inclusion of three types of cryptography - "hidden monomial" systems, combinatorial-algebraic sys tems, and hyperelliptic systems - that are at an early stage of development. It is too soon to know which, if any, of these cryptosystems will ultimately be of practical use. But in the rapidly growing field of cryptography it is worthwhile to continually explore new one-way constructions coming from different areas of mathematics. Perhaps some of the readers will contribute to the research that still needs to be done. This book is designed not as a comprehensive reference work, but rather as a selective textbook. The many exercises (with answers at the back of the book) make it suitable for use in a math or computer science course or in a program of independent study.

Free Download Paul R. Halmos, "Algebraic Logic"
English | 2016 | pages: 274 | ISBN: 161427634X, 1258373629 | EPUB | 28,0 mb
Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic and polyadic algebras, these articles are essentially self-contained and accessible to a general mathematical audience, requiring no specialized knowledge of algebra or logic.

Free Download Algebraic Geometry II: Cohomology of Schemes With Examples and Exercises
English | 2023 | ISBN: 3658430303 | 877 Pages | PDF (True) | 10 MB
It begins by discussing in detail the notions of smooth, unramified and étale morphisms including the étale fundamental group. The main part is dedicated to the cohomology of quasi-coherent sheaves. The treatment is based on the formalism of derived categories which allows an efficient and conceptual treatment of the theory, which is of crucial importance in all areas of algebraic geometry. After the foundations are set up, several more advanced topics are studied, such as numerical intersection theory, an abstract version of the Theorem of Grothendieck-Riemann-Roch, the Theorem on Formal Functions, Grothendieck's algebraization results and a very general version of Grothendieck duality. The book concludes with chapters on curves and on abelian schemes, which serve to develop the basics of the theory of these two important classes of schemes on an advanced level, and at the same time to illustrate the power of the techniques introduced previously.

Free Download Algebraic Equations (Quick Study Academic)
English | 2014 | ISBN: 14232238X | 6 Pages | PDF (True) | 3 MB
This guide outlines basic algebraic equations, formulas, properties & operations

Free Download Local Systems in Algebraic-Arithmetic Geometry
English | 2023 | ISBN: 303140839X | 94 Pages | PDF EPUB (True) | 6 MB
The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is, its complex local systems. A fundamental problem is then to single out the complex points of such moduli spaces which correspond to geometric systems, and more generally to identify geometric subloci of the moduli space of local systems with special arithmetic properties. Deep conjectures have been made in relation to these problems. This book studies some consequences of these conjectures, notably density, integrality and crystallinity properties of some special loci.

Milne J Algebraic Geometry 2023 | 15.92 MB
N/A | 223 Pages

Title: Algebraic Geometry
Author: J.S. Milne
Year: N/A

Free Download Seth Sullivant, "Algebraic Statistics "
English | ISBN: 1470435179 | 2018 | 490 pages | PDF | 6 MB
Algebraic statistics uses tools from algebraic geometry, commutative algebra, combinatorics, and their computational sides to address problems in statistics and its applications. The starting point for this connection is the observation that many statistical models are semialgebraic sets. The algebra/statistics connection is now over twenty years old, and this book presents the first broad introductory treatment of the subject. Along with background material in probability, algebra, and statistics, this book covers a range of topics in algebraic statistics including algebraic exponential families, likelihood inference, Fisher's exact test, bounds on entries of contingency tables, design of experiments, identifiability of hidden variable models, phylogenetic models, and model selection. With numerous examples, references, and over 150 exercises, this book is suitable for both classroom use and independent study.