Algebraic geometry

Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds, a great geometrical idea due to R.

The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves.

This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002.

Complex geometry studies (compact) complex manifolds.

In the second edition we do not only correct errors, update references and improve some of the proofs of the text of the first edition, but also add a new chapter on singularities in arbitrary characteristic.

This text covers topics in algebraic geometry and commutative algebra with careful attention to their practical and computational aspects.

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.

Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics.

Vladimir Arnold was one of the great mathematical scientists of our time.

In the more than 100 years since the fundamental group was first introduced by Henri Poincare it has evolved to play an important role in different areas of mathematics.

The Abel Symposium 2009 "e;Combinatorial aspects of Commutative Algebra and Algebraic Geometry"e;, held at Voss, Norway, featured talks by leading researchers in the field.

This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors' participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami.

This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors' participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami.

This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto.

This volume contains the Proceedings of the conference "e;Complex and Differential Geometry 2009"e;, held at Leibniz Universitat Hannover, September 14 - 18, 2009.

It is a pleasure to welcome you to the proceedings of the second International Castle Meeting on Coding Theory and its Applications, held at La Mota Castle in Medina del Campo.

This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces ("e;COMPASS"e;), which was held from September 29 to October 3, 2003, at Schlo Weinberg, Kefermarkt (A- tria).

The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives.

The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.

Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.

Written to honour Miles Reid''s 70th birthday, this volume covers a broad range of contemporary research, both concrete and theoretical.

The two ?

This book contains a series of research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields.

Algebraic Geometry provides an impressive theory targeting the understanding of geometric objects defined algebraically.

This monograph provides the first systematic treatment of the logarithmic Bogomolov-Tian-Todorov theorem.

This monograph provides the first systematic treatment of the logarithmic Bogomolov-Tian-Todorov theorem.

This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications.

This book offers a comprehensive exploration of contemporary intersections between geometry, topology, and theoretical physics, emphasizing their mathematical foundations and applications.

This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces.

This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces.

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "e;Higher homotopical structures"e; programme.

This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "e;Higher homotopical structures"e; programme.

This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations.

This book introduces foundational topics such as group theory, fields, linear algebra, matrix theory, and graph theory, providing readers with the essential background needed to understand Feynman diagrams and their integral representations.

This book demonstrates how geometry along with linear algebra can be used to learn and study accounting.

This book demonstrates how geometry along with linear algebra can be used to learn and study accounting.

Algebraic Geometry is a huge area of mathematics which went through several phases: Hilbert's fundamental paper from 1890, sheaves and cohomology introduced by Serre in the 1950s, Grothendieck's theory of schemes in the 1960s and so on.

This volume presents a collection of research papers and survey articles by participants from two significant conferences on several complex variables (SCV) held at POSTECH in 2022.

This volume presents a collection of research papers and survey articles by participants from two significant conferences on several complex variables (SCV) held at POSTECH in 2022.

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic.

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic.

Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today.

Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision continues to impact and inspire many fields and researchers today.

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.

The second 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.

The second 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.