Algebraic geometry

This is a volume of research articles related to finite groups.

This book studies a class of monopoles defined by certain mild conditions, called periodic monopoles of generalized Cherkis-Kapustin (GCK) type.

This book presents recent results on positivity and optimization of polynomials in non-commuting variables.

The present volume grew out of an international conference on affine algebraic geometry held in Osaka, Japan during 3-6 March 2011 and is dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday.

This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry.

This thesis proposes a new perspective on scattering amplitudes in quantum field theories.

The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today.

Contains Grothendieck''s previously unpublished manuscript ''Esquisse d''un Programme'' and related papers.

This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona.

The equivariant derived category of sheaves is introduced.

This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite total curvature.

It is impossible to imagine modern mathematics without complex numbers.

This book studies a class of monopoles defined by certain mild conditions, called periodic monopoles of generalized Cherkis-Kapustin (GCK) type.

Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology.

This is an introduction to diophantine geometry at the advanced graduate level.

This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015.

The first of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research.

This original monograph investigates several unsolved problems that currently exist in coding theory.

This volume collects contributions from speakers at the INdAM Workshop "e;Birational Geometry and Moduli Spaces"e;, which was held in Rome on 11-15 June 2018.

The ambitious program for the birational classification of higher-dimensional complex algebraic varieties initiated by Shigeru Iitaka around 1970 is usually called the Iitaka program.

This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory.

No detailed description available for "e;Complex Analysis and Algebraic Geometry"e;.

An incredible season for algebraic geometry flourished in Italy between 1860, when Luigi Cremona was assigned the chair of Geometria Superiore in Bologna, and 1959, when Francesco Severi published the last volume of the treatise on algebraic systems over a surface and an algebraic variety.

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary.

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects.

Plurisubharmonic functions playa major role in the theory of functions of several complex variables.

This book deals with two subjects.

Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a real closed field.

This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics.

This book is an introduction to the mathematical theory of design for articulated mechanical systems known as linkages.

This book concerns the question of how the solution of asystem of ODE's varies when the differential equationvaries.

This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces.

This book provides an introduction to fundamental methods and techniques of algebra over ordered fields.

In recent years there has been enormous activity in the theory of algebraic curves.

The aim of this book is to provide a guide to a rich and fascinating subject: algebraic curves, and how they vary in families.

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE.

In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modular surface.

An incredible season for algebraic geometry flourished in Italy between 1860, when Luigi Cremona was assigned the chair of Geometria Superiore in Bologna, and 1959, when Francesco Severi published the last volume of the treatise on algebraic systems over a surface and an algebraic variety.

At last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch.

This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields.

A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives.

This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory.

This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces.