Title

Login

Join

Book's by Akihito Wachi

Covers

List

The Lefschetz Properties

By: Tadahito Harima,Toshiaki Maeno,Hideaki Morita,Yasuhide Numata,Akihito Wachi,Junzo Watanabe

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Lefschetz Properties

By: Tadahito Harima,Toshiaki Maeno,Hideaki Morita,Yasuhide Numata,Akihito Wachi,Junzo Watanabe

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

268

Publisher

Springer

Published Date

ISBN 10

3642382061

ISBN 13

9783642382062

The Lefschetz Properties

By: Tadahito Harima,Toshiaki Maeno,Hideaki Morita,Yasuhide Numata,Akihito Wachi,Junzo Watanabe

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Lefschetz Properties

By: Tadahito Harima,Toshiaki Maeno,Hideaki Morita,Yasuhide Numata,Akihito Wachi,Junzo Watanabe

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

268

Publisher

Springer

Published Date

ISBN 10

3642382061

ISBN 13

9783642382062