Algebraic geometry

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

Several important aspects of moduli spaces and irreducible holomorphic symplectic manifolds were highlighted at the conference "e;Algebraic and Complex Geometry"e; held September 2012 in Hannover, Germany.

Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation.

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

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

Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics.

An overview of different theories of motivic integration and their applications.

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.

This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry.

The primary aim of this monograph is to achieve part of Beilinson's program on mixed motives using Voevodsky's theories of A1-homotopy and motivic complexes.

Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology.

This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century.

This English edition of Yuri I.

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.

This book is built upon a basic second-year masters course given in 1991- 1992, 1992-1993 and 1993-1994 at the Universit' e Paris-Sud (Orsay).

This textbook is intended to be accessible to any second-year undergraduate in mathematics who has attended courses on basic real analysis and linear algebra.

The Bayreuth meeting on "e;Complex Algebraic Varieties"e;focussed on the classification of algebraic varieties andtopics such as vector bundles, Hodge theory and hermitiandifferential geometry.

This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators.

This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations.

This book arises from the INdAM Meeting "e;Complex and Symplectic Geometry"e;, which was held in Cortona in June 2016.

This book presents progress on two open problems within the framework of algebraic geometry and commutative algebra: Grobner's problem regarding the arithmetic Cohen-Macaulayness (aCM) of projections of Veronese varieties, and the problem of determining the structure of the algebra of invariants of finite groups.

Degrees of Unsolvability

"e;The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers.

Over the last 15 years important results have been achieved in the field of Hilbert Modular Varieties.

This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Grobner bases and degenerations, and applications of Adams operations.

Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry.

This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves.

Bifurcation of Maps and Applications

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

This book serves as an illuminating introduction to the intricacies of the geometry of numbers.

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

This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.

This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.

This book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c).

Regenerative gas turbines are attractive alternatives to diesel engines and spark- ignition engines for automobiles and to diesel engines and combined-cycle en- gines for power generation.

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

This volume contains the original lecture notes presented by A.

This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples.

This book gives a modern presentation of modular operands and their role in string field theory.

This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions.

The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media).

He [Kronecker] was, in fact, attempting to describe and to initiate a new branch of mathematics, which would contain both number theory and alge- braic geometry as special cases.

This volume contains articles related to the work of the Simons Collaboration "e;Arithmetic Geometry, Number Theory, and Computation.

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects.

Formal development of the mathematical theory of quantum information with clear proofs and exercises.