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Algebraic Geometry and Statistical Learning Theory

Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory. Many widely used;

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Introduction to Algebraic Geometry

between the theory in characteristic $0$ and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry;

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Algebraic and Combinatorial Aspects of Tropical Geometry

with various areas of mathematics and physics, such as algebraic geometry, symplectic geometry, complex analysis, dynamical systems;

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Algebraic Geometry, Volume 3

in algebraic geometry. In this volume, the author goes beyond introductory notions and presents the theory of schemes and sheaves with the goal;

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Algebraic Geometry Codes

of mathematics. On one hand, it involves such classical areas as algebraic geometry and number theory; on the other, it is connected to information;

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Algebraic Geometry for Associative Algebras

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and;

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Local and Global Methods in Algebraic Geometry

This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12-15, 2016, at the;

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Open Algebraic Surfaces

methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic;

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Lectures on Logarithmic Algebraic Geometry

analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the;

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A Royal Road to Algebraic Geometry

This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the;

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Elementary Algebraic Geometry

Designed to make learning introductory algebraic geometry as easy as possible, this text is intended for advanced undergraduates and;

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Methods of Algebraic Geometry in Control Theory

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;

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Methods of Algebraic Geometry in Control Theory

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;

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Arithmetic Differential Equations

. For most of the book, the only prerequisites are the basic facts of algebraic geometry and algebraic number theory. It is suitable for;

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Algebraic Geometry 1, Volume 1

This is the first of three volumes on algebraic geometry. The second volume, Algebraic Geometry 2: Sheaves and Cohomology , is available;

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Algebraic Geometry in Coding Theory and Cryptography

students and advanced undergraduates to the foundations of algebraic geometry for applications to information theory * Provides the first detailed;

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Undergraduate Algebraic Geometry

Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the;

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Representation Theory and Algebraic Geometry

The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory;

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Algebraic K-Theory

Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and;

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Complex Analysis and Algebraic Geometry

well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A;

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Complex Analysis and Algebraic Geometry

well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A;

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Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015

anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality;

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Complex Algebraic Geometry

introduction to the subject, complex algebraic geometry, making the book suitable as a text for second- and third-year graduate students. The book;

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Topological Methods in Algebraic Geometry

. K. KODAIRA and D. C. SPENCER have also applied sheaf theory to algebraic geometry with great success. Their methods differ from those;

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A Study in Derived Algebraic Geometry

context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and;

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Noncommutative Geometry

This book covers the basics of noncommutative geometry (NCG) and its applications in topology, algebraic geometry, and number theory. The;

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Algebraic Geometry V: Fano Varieties

divisor. This book will be very useful as a reference and research guide for researchers and graduate students in algebraic geometry.;

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