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Commutative Algebra and its Interactions to Algebraic Geometry: VIASM 2013–2014: 2210 (Lecture Notes in Mathematics, 2210) - Softcover
Synopsis
This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014.
The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers (and improves) recent results for the case of toric varieties.
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This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014.
The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers (and improves) recent results for the case of toric varieties.
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- PublisherSpringer
- Publication date2018
- ISBN 10 3319755641
- ISBN 13 9783319755649
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages267
- EditorTu CUONG Nguyen, Tuan HOA Le, Viet TRUNG Ngo
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Commutative algebra and its interactions to algebraic geometry. VIASM 2013-2014.
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Commutative Algebra and its Interactions to Algebraic Geometry. VIASM 20132014.
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ix, 256 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Lecture Notes in Mathematics, 2210. Sprache: Englisch. Seller Inventory # 4877BB
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Commutative Algebra and its Interactions to Algebraic Geometry
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Springer International Publishing Aug 2018, 2018
ISBN 10: 3319755641
ISBN 13: 9783319755649
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014.The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically It systematically covers (and improves) recent results for the case of toric varieties. 268 pp. Englisch. Seller Inventory # 9783319755649
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Commutative Algebra and its Interactions to Algebraic Geometry
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Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013-2014
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Commutative Algebra and its Interactions to Algebraic Geometry: VIASM 2013-2014 (Lecture Notes in Mathematics, 2210)
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Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013-2014
Published by
Springer International Publishing, Springer International Publishing, 2018
ISBN 10: 3319755641
ISBN 13: 9783319755649
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Taschenbuch
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014.The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically It systematically covers (and improves) recent results for the case of toric varieties. Seller Inventory # 9783319755649
Quantity: 1 available
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Commutative Algebra and its Interactions to Algebraic Geometry
Published by
Springer International Publishing, 2018
ISBN 10: 3319755641
ISBN 13: 9783319755649
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Suitable for graduate courses, requiring only a basic background in commutative algebraIncludes many interesting open problems and ideas for further investigationDescribes recent research in commutative algebra and its applica. Seller Inventory # 204098296
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