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Period Mappings with Applications to Symplectic Complex Spaces: 2140 (Lecture Notes in Mathematics, 2140) - Softcover
Synopsis
Extending Griffiths’ classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of “Hodge-de Rham type” for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frölicher spectral sequence associated to a submersive morphism of complex manifolds. The third part applies the preceding material to the study of irreducible symplectic complex spaces. The latter notion generalizes the idea of an irreducible symplectic manifold, dubbed an irreducible hyperkähler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely.
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Extending Griffiths’ classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of “Hodge-de Rham type” for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frölicher spectral sequence associated to a submersive morphism of complex manifolds. The third part applies the preceding material to the study of irreducible symplectic complex spaces. The latter notion generalizes the idea of an irreducible symplectic manifold, dubbed an irreducible hyperkähler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely.
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Period Mappings with Applications to Symplectic Complex Spaces.
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Period Mappings with Applications to Symplectic Complex Spaces
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Period Mappings With Applications to Symplectic Complex Spaces
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Period Mappings with Applications to Symplectic Complex Spaces (Lecture Notes in Mathematics, 2140)
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Period Mappings with Applications to Symplectic Complex Spaces
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ISBN 13: 9783319175201
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Extending Griffiths' classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of 'Hodge-de Rham type' for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frölicher spectral sequence associated to a submersive morphism of complex manifolds. The third part applies the preceding material to the study of irreducible symplectic complex spaces. The latter notion generalizes the idea of an irreducible symplectic manifold, dubbed an irreducible hyperkähler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely. 296 pp. Englisch. Seller Inventory # 9783319175201
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Period Mappings with Applications to Symplectic Complex Spaces
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ISBN 10: 3319175203
ISBN 13: 9783319175201
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Extending Griffiths' classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of 'Hodge-de Rham type' for families of open complex manifolds. The text consists of three parts. The first part develops the theory. The second part investigates the degeneration behavior of the relative Frölicher spectral sequence associated to a submersive morphism of complex manifolds. The third part applies the preceding material to the study of irreducible symplectic complex spaces. The latter notion generalizes the idea of an irreducible symplectic manifold, dubbed an irreducible hyperkähler manifold in differential geometry, to possibly singular spaces. The three parts of the work are of independent interest, but intertwine nicely. Seller Inventory # 9783319175201
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Period Mappings With Applications to Symplectic Complex Spaces
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Period Mappings with Applications to Symplectic Complex Spaces (Lecture Notes in Mathematics, 2140)
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Period Mappings with Applications to Symplectic Complex Spaces (Lecture Notes in Mathematics, 2140)
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