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Nonabelian Jacobian of Projective Surfaces: Geometry and Representation Theory: 2072 (Lecture Notes in Mathematics) - Tapa blanda
Sinopsis
The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces. Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian. This constitutes a nonabelian analogue of the (abelian) Lie algebra structure of the classical Jacobian. This feature naturally relates geometry of surfaces with the representation theory of reductive Lie algebras/groups. This work’s main focus is on providing an in-depth study of various aspects of this relation. It presents a substantial body of evidence that the sheaf of Lie algebras on the nonabelian Jacobian is an efficient tool for using the representation theory to systematically address various algebro-geometric problems. It also shows how to construct new invariants of representation theoretic origin on smooth projective surfaces.
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The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces.
Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian. This constitutes a nonabelian analogue of the (abelian) Lie algebra structure of the classical Jacobian. This feature naturally relates geometry of surfaces with the representation theory of reductive Lie algebras/groups.
This work s main focus is on providing an in-depth study of various aspects of this relation. It presents a substantial body of evidence that the sheaf of Lie algebras on the nonabelian Jacobian is an efficient tool for using the representation theory to systematically address various algebro-geometric problems. It also shows how to construct new invariants of representation theoretic origin on smooth projective surfaces.
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Nonabelian Jacobian of Projective Surfaces : Geometry and Representation Theory
Publicado por
Springer Berlin Heidelberg, 2013
ISBN 10: 3642356613
ISBN 13: 9783642356612
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Librería: Buchpark, Trebbin, Alemania
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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 224 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 23486464/12
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Nonabelian Jacobian of Projective Surfaces: Geometry and Representation Theory (Lecture Notes in Mathematics, Band 2072)
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Springer. 2013., 2013
ISBN 10: 3642356613
ISBN 13: 9783642356612
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Librería: Antiquariaat Ovidius, Bredevoort, Holanda
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Nonabelian Jacobian of Projective Surfaces
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Springer Berlin Heidelberg Mrz 2013, 2013
ISBN 10: 3642356613
ISBN 13: 9783642356612
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces. Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian. This constitutes a nonabelian analogue of the (abelian) Lie algebra structure of the classical Jacobian. This feature naturally relates geometry of surfaces with the representation theory of reductive Lie algebras/groups. This work's main focus is on providing an in-depth study of various aspects of this relation. It presents a substantial body of evidence that the sheaf of Lie algebras on the nonabelian Jacobian is an efficient tool for using the representation theory to systematically address various algebro-geometric problems. It also shows how to construct new invariants of representation theoretic origin on smooth projective surfaces. 224 pp. Englisch. Nº de ref. del artículo: 9783642356612
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Nonabelian Jacobian of Projective Surfaces : Geometry and Representation Theory
Publicado por
Springer Berlin Heidelberg, 2013
ISBN 10: 3642356613
ISBN 13: 9783642356612
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces. Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian. This constitutes a nonabelian analogue of the (abelian) Lie algebra structure of the classical Jacobian. This feature naturally relates geometry of surfaces with the representation theory of reductive Lie algebras/groups. This work's main focus is on providing an in-depth study of various aspects of this relation. It presents a substantial body of evidence that the sheaf of Lie algebras on the nonabelian Jacobian is an efficient tool for using the representation theory to systematically address various algebro-geometric problems. It also shows how to construct new invariants of representation theoretic origin on smooth projective surfaces. Nº de ref. del artículo: 9783642356612
Cantidad disponible: 1 disponibles
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Nonabelian Jacobian of Projective Surfaces: Geometry and Representation Theory (Lecture Notes in Mathematics, 2072)
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Nonabelian Jacobian of Projective Surfaces
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Springer Berlin Heidelberg, 2013
ISBN 10: 3642356613
ISBN 13: 9783642356612
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of s. Nº de ref. del artículo: 5058036
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Nonabelien Jacobian of Projective Surfaces : Geometry and Representation Theory
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Nonabelian Jacobian of Projective Surfaces: Geometry and Representation Theory (Lecture Notes in Mathematics)
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Nonabelien Jacobian of Projective Surfaces : Geometry and Representation Theory
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Nonabelian Jacobian of Projective Surfaces
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