The Lefschetz Properties
Tadahito Harima · 2013
Where to buy
Amazon’s price changes daily, so the most accurate place to see it is there, at the moment you buy.
View on AmazonThis is an affiliate link: if you buy through it, the site earns a small commission at no extra cost to you, which helps us bring quality content and maintain the site. As an Amazon Associate we earn from qualifying purchases.
About the book
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.
Book details
- Year
- 2013
- Language
- English
- Publisher
- Springer-Verlag Berlin and Heidelberg GmbH &
- Editions
- 3
- Pages
- 250
- ISBN
- 9783642382055
Data source: Wikidata