The Lefschetz properties

Resource Information

The work The Lefschetz properties represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

The Lefschetz properties

Statement of responsibility

Tadahito Harima [and others]

Contributor

• Harima, Tadahito

Subject

• Artin rings
• Artin rings
• Artin rings
• Artinsche Algebra
• Geometry, Algebraic
• Geometry, Algebraic
• Geometry, Algebraic
• Lefschetz-Fixpunktsatz
• Local rings
• Local rings
• Local rings

Language

eng

Summary

This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically

Member of

• Lecture notes in mathematics (Springer-Verlag), 2080
• Lecture notes in mathematics (Springer-Verlag), 2080.

Cataloging source

HNK

Dewey number

516.3/5

Illustrations

illustrations

Index

index present

Language note

English

LC call number

QA564

LC item number

.L435 2013eb

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

2080