Algebraic geometry

We introduce mixed twistor D-modules and establish their fundamental functorial properties.

The purpose of coding theory is the design of efficient systems for the transmission of information.

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta-a doyen of history of mathematics-written on a variety of important topics pertaining to mathematics and astronomy in India.

This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.

This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover.

Computational Geometry is a new discipline of computer science that deals with the design and analysis of algorithms for solving geometric problems.

This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018.

This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.

The thoroughly revised and updated second edition of this acclaimed text has several new and expanded sections and more than 1,100 exercises.

A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.

This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory.

This book is based on the lectures given at the Oberwolfach Seminar on Tropical Algebraic Geometry in October 2004.

Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view.

This book provides an overview of the latest progress on rationality questions in algebraic geometry.

This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world's leading experts in their respective fields.

The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry.

This monograph deals with the Hadamard products of algebraic varieties.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.

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Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry.

Parallel robots are closed-loop mechanisms presenting very good performances in terms of accuracy, rigidity and ability to manipulate large loads.

The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades.

"e;Singular Loci of Schubert Varieties"e; is a unique work at the crossroads of representation theory, algebraic geometry, and combinatorics.

This book is an exposition of recent progress on the Donaldson-Thomas (DT) theory.

This book is based on the lectures given at the Oberwolfach Seminar on Tropical Algebraic Geometry in October 2004.

This textbook covers classical geometrical methods and modern analytical methods in kinematic synthesis of mechanisms.

This book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting Master's and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics.

The goal of this book is to provide an introduction to algebraic geometry accessible to students.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

As an interesting object of arithmetic, algebraic and analytic geometry the complex ball was born in a paper of the French Mathematician E.

The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties.

In the first two chapters we review the theory developped by Cartan, Whitney and Tognoli.

The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety.

From the reviews: This book is devoted to the study of sheaves by microlocal methods.

This book provides a comprehensive introduction to Soergel bimodules.

The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays.

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering.

This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory' at the ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014.

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions.

Spencer Bloch''s landmark lectures are finally back in print, with a new preface by the author reflecting on recent developments.

This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory.

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.

This book examines the life and work of mathematician Giovanni Battista Guccia, founder of the Circolo Matematico di Palermo and its renowned journal, the Rendiconti del Circolo matematico di Palermo.