Algebraic geometry Books

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.After a concise introduction to...

This book is devoted to the structure of the absolute Galois groups of certain algebraic extensions of the field of rational numbers. Its main result, a theorem proved by the authors and Florian Pop in 2012, describes the absolute Galois group of...

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic identity that...

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation...

This book provides an overview of the latest progress on rationality questions in algebraic geometry. It discusses new developments such as universal triviality of the Chow group of zero cycles, various aspects of stable birationality, cubic and Fano...

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to...

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. Authored by world experts, the various contributions deal with both classical material and modern...

MATRIX is Australia's international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record...

In recent years, research in K3 surfaces and Calabi-Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics-in particular, in string...

Previous publications on the generalization of the Thomae formulae to Zn curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results...

Surveys.- Multiples of forms.- On Saltman's p-Adic Curves Papers.- Serre's Conjecture II: A Survey.- Field Patching, Factorization, and Local-Global Principles.- Deformation Theory and Rational Points on Rationally Connected Varieties.- Recent Progress...

In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and...

This book provides an introduction to orthogonal polynomials and special functions aimed at graduate students studying these topics for the first time. A large part of its content is essentially inspired by the works of Pascal Maroni on the so-called...

""�����ber die Geometrie der Kegelschnitte: Insbesondere deren Charakteristikenproblem"" ist ein Buch des deutschen Mathematikers Eduard Study. Es wurde erstmals 1885 ver������ffentlicht und ist ein wichtiger Beitrag zur Geometrie der Kegelschnitte. Das...

The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay as it develops the basic theory, providing an opportunity for readers to appreciate the unity...

In recent times, group theory has found wider applications in various fields of algebra and mathematics in general. But in order to apply this or that result, you need to know about it, and such results are often diffuse and difficult to locate,...

""A Key To The New And Previous Editions Of A Manual Of Plane Trigonometry"" is a reference book written by Joseph Allen Galbraith in 1860. The book is intended to be used as a companion to the author's previous work, ""A Manual Of Plane Trigonometry""...

This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced...

This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is...

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior...

Il presente libro trae origine dalle lezioni del corso di Geometria e vuole essere un utile strumento per la preparazione agli esami presenti in diversi corsi di laurea triennale, quali, Architettura e Ingegneria. Gli esercizi scelti, prima di tutto,...

Das Buch ""Die Ebenen Curven Dritter Ordung"" von Heinrich Durege wurde im Jahr 1871 ver������ffentlicht. Es handelt sich um ein mathematisches Werk, das sich mit ebenen Kurven dritter Ordnung besch�����ftigt. Der Autor gibt eine umfassende...

""Die Ebenen Curven Dritter Ordnung"" ist ein mathematisches Werk von Heinrich Durege, das erstmals im Jahr 1871 ver������ffentlicht wurde. Das Buch behandelt das Thema der ebenen Kurven dritter Ordnung und enth�����lt eine detaillierte Beschreibung...

The Syzygetic Pencil Of Cubics With A New Geometrical Development Of Its Hesse Group, G216: The Complete Pappus Hexagon (1907) is a book written by Charles Clayton Grove. The book presents a new geometrical development of the Hesse group G216, which is a...

Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the first book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. In...

The Shilling Manual of Trigonometry is a book written by Walter Marsham Adams in 1881. The book is a comprehensive guide to trigonometry and is designed to provide readers with a clear and concise understanding of the subject. The book covers a range of...

In the fall of 1992 I was invited by Professor Changho Keem to visit Seoul National University and give a series of talks. I was asked to write a monograph based on my talks, and the result was published by the Global Analysis...

The articles in this volume are an outgrowth of a colloquium "Systemes Integrables et Feuilletages," which was held in honor of the sixtieth birthday of Pierre Molino.The topics cover the broad range of mathematical areas which...

Spectral Techniques to Explore Point Clouds in Euclidean Space, with Applications to Collective Coordinates in Structural Biology.- Rational Parametrizations, Intersection Theory, and Newton Polytopes.- Some Discrete Properties of the Space of Line...

1. On Characterizing Designs By Their Codes (B. Bagchi).- 2. The Geometry of Extremal Elements in a Lie Algebra (A.M. Cohen).- 3. Properties of a 27-dimensional Space of Symmetric Bilinear Forms Acted on by E6 (R. Gow).- 4. On the Geometry of Global...

This volume is an outgrowth of the research project "The Inverse Ga­ lois Problem and its Application to Number Theory" which was carried out in three academic years from 1999 to 2001 with the support of the Grant-in-Aid for...

This is a self-contained introduction to algebraic curves over finite fields and geometric Goppa codes. There are four main divisions in the book. The first is a brief exposition of basic concepts and facts of the theory of...

The book addresses several problems in contemporary corporate finance: optimal capital structure, both in the US and in the G7 economies; the Capital Asset Pricing Model (CAPM) and the Arbitrage Pricing Model (APT) and the...

Solid Geometry and Conic Sections: With Appendices on Transversals, and Harmonic Division is a mathematical textbook written by James Maurice Wilson and first published in 1872. The book is divided into two parts, the first of which covers solid...

Solutions To Problems Contained In A Geometrical Treatise On Conic Sections is a book written by William Henry Drew and originally published in 1868. The book is a comprehensive guide to solving problems related to conic sections, which are the curves...

On Certain Special Sheaves Of Curves Of Higher Order is a mathematical book written by Mary Bell McMillan in 1914. The book focuses on the study of sheaves, which are a mathematical concept used to describe the structure of sets of functions on a space...

Le livre ""Trait����� des fonctions elliptiques et de leurs applications, partie 3 (1891)"" de Halphen, Georges Henri est un ouvrage de r�����f�����rence en math�����matiques. Il s'agit d'une continuation des deux premi�����res parties du trait�����,...

Le livre ""Sur Quelques Applications Des Fonctions Elliptiques"" a �����t����� �����crit par Hermite, Charles en 1885. Ce livre traite des applications des fonctions elliptiques en math�����matiques. Les fonctions elliptiques sont des fonctions...

Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory.  In this...

- Qa faut avouer, dit Trouscaillon qui, dans cette simple ellipse, utilisait hyperboliquement Ie cercle vicieux de la parabole. - Bun, dit Ie Sanctimontronais, j'y vais. (R. Queneau, Zazie dans Ie metru, Chapitre X.) L'etude...

This book is the first in a series of three volumes that comprehensively examine Mario Pieri's life, mathematical work and influence. The book introduces readers to Pieri's career and his studies in foundations, from both...

The articles in this volume are an outgrowth of an International Confer­ ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as...

This mathematical treatise explores the properties of conformal representation of plane curves and provides a detailed analysis of various cases. The author discusses the applications of conformal representation in the theory of functions and the...

Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of...