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Synopsis
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.
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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.
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The Lefschetz Properties
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 272 pp. Englisch. Seller Inventory # 9783642382055
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The Lefschetz Properties (Lecture Notes in Mathematics, Band 2080)
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is the first book on the theory of Lefschetz propertiesThis is the first attempt to treat the theory of Lefschetz properties systematicallyThis book shows a wide connection of the Lefschetz properties to other areas of mathematics So, Re. Seller Inventory # 5058890
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The Lefschetz Properties
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783642382055
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The Lefschetz Properties
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -InhaltsangabeIntroduction and Historical Note.- 1. Poset Theory.- 2. Basics on the Theory of Local Rings.- 3. Lefschetz Properties.- 4. Compete Intersections with the SLP.- 5.A Generalization of Lefschetz Elements.- 6.k-Lefschetz Properties.- 7.Cohomology Rings.- 8. Invariant Theory and Lefschetz Property.- 9.The Strong Lefschetz Property and the Schur-Weyl Duality.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 272 pp. Englisch. Seller Inventory # 9783642382055
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The Lefschetz Properties
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Taschenbuch. Condition: Neu. The Lefschetz Properties | Tadahito Harima (u. a.) | Taschenbuch | Lecture Notes in Mathematics | xix | Englisch | 2013 | Springer | EAN 9783642382055 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 105682332