The Lefschetz Properties

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 las...

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Autors principals: Harima, Tadahito, Maeno, Toshiaki (Autor), Morita, Hideaki (Autor), Numata, Yasuhide (Autor), Wachi, Akihito (Autor), Watanabe, Junzo (Autor)
Altres autors: Harima, Tadahito, 19..- (Col·laborador), Maeno, Toshiaki, 19..- (Col·laborador), Morita, Hideaki, 19..-...., mathématicien (Col·laborador)
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edició:1st ed. 2013.
Col·lecció:Lecture Notes in Mathematics 2080
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Nota: L'impression du document génère 268 p.
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Edition sous un autre format:• The Lefschetz properties, Tadahito Harima, Toshiaki Maeno, Hideaki Morita,... [et al.], Heidelberg, Springer, 2013, 1 vol. (XIX-250 p.), Lecture notes in mathematics, 978-3-642-38205-5
• The Lefschetz properties, Tadahito Harima, Toshiaki Maeno, Hideaki Morita,... [et al.], Heidelberg, Springer, 2013, 1 vol. (XIX-250 p.), Lecture notes in mathematics, 978-3-642-38205-5
• The Lefschetz Properties, Texte imprimé, 9783642382079
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Sumari: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
Descripció de l’ítem:L'impression du document génère 268 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Index
ISBN:9783642382062
ISSN:1617-9692
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