Algebraic geometry

This book summarizes recent inventions, provides guidelines and recommendations, and demonstrates many practical applications of homomorphic encryption.

This is an English translation of the book in Japanese, published as the volume 20 in the series of Seminar Notes from The University of Tokyo that grew out of a course of lectures by Professor Kunihiko Kodaira in 1967.

Due to the lack of proper bibliographical sources stratification theory seems to be a "e;mysterious"e; subject in contemporary mathematics.

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.

Exploring the connections between arithmetic and geometric properties of algebraic varieties has been the object of much fruitful study for a long time, especially in the case of curves.

The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, and spectral algebraic geometry in a self-contained manner.

Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint.

These lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.

In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces.

In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold.

This lecture notes volume presents significant contributions from the "e;Algebraic Geometry and Number Theory"e; Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.

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

Affine algebraic geometry has progressed remarkably in the last half a century, and its central topics are affine spaces and affine space fibrations.

"e;Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium.

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject.

This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of Mohammed Salah Baouendi, a most renowned figure in the field of several complex variables, who passed away in 2011.

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 book makes a systematic study of the relations between the etale cohomology of a scheme and the orderings of its residue fields.

This book is about modern algebraic geometry.

This book provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.

The section conjecture in anabelian geometry, announced by Grothendieck in 1983, is concerned with a description of the set of rational points of a hyperbolic algebraic curve over a number field in terms of the arithmetic of its fundamental group.

Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions.

This book gives a systematic presentation of real algebraic varieties.

Over the past 2O years classical Hodge theory has undergone several generalizations of great interest in algebraic geometry.

In theory there is no difference between theory and practice.

This book collects independent contributions on current developments in quantum information theory, a very interdisciplinary field at the intersection of physics, computer science and mathematics.

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

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

Singularities arise naturally in a huge number of different areas of mathematics and science.

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

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.

This book gives a systematic presentation of real algebraic varieties.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

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

This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory.

Topology and Borel Structure

Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient

In most undergraduate physics classes Special Relativity is taught from a simplistic point of view using Newtonian concepts rather than the relativistic way of thinking.

Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results.

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

The topological fundamental group of a smooth complex algebraic variety is poorly understood.

Geometric algebra is still treated as an obscure branch of algebra and most books have been written by competent mathematicians in a very abstract style.

Aunque la geometría algebraica constituye un campo altamente desarrollado y próspero de la Matemática, presenta dificultades notables al principiante que pretenda abrirse camino en esta materia.