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Sinopsis
Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorne’s Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern tools of Mori Theory and of rationally connected manifolds.
The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once thisembedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry."Sinopsis" puede pertenecer a otra edición de este libro.
De la contraportada
Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorne s Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern tools of Mori Theory and of rationally connected manifolds.
The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once this embedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry.
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On the Geometry of Some Special Project (Lecture Notes Of The Unione Matematica Italiana)
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On the Geometry of Some Special Project (Lecture Notes Of The Unione Matematica Italiana)
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On the Geometry of Some Special Project (Lecture Notes Of The Unione Matematica Italiana)
Librería: Biblios, Frankfurt am main, HESSE, Alemania
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On the Geometry of Some Special Projective Varieties
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Springer International Publishing, 2016
ISBN 10: 3319267647
ISBN 13: 9783319267647
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Winner of the 2015 Book Prize of the Unione Matematica ItalianaProviding an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projecti. Nº de ref. del artículo: 83966752
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On the Geometry of Some Special Projective Varieties (Lecture Notes of the Unione Matematica Italiana, 18)
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On the Geometry of Some Special Projective Varieties
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Springer International Publishing Feb 2016, 2016
ISBN 10: 3319267647
ISBN 13: 9783319267647
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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 -Providing an introductionto both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces,their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding intosmaller projective spaces, and the classification of extremal cases.It also provides a solution of Hartshorne's Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results,using themodern tools of Mori Theory and of rationally connected manifolds.The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once this embedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry. 260 pp. Englisch. Nº de ref. del artículo: 9783319267647
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On the Geometry of Some Special Projective Varieties
Publicado por
Springer International Publishing, 2016
ISBN 10: 3319267647
ISBN 13: 9783319267647
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Providing an introductionto both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces,their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding intosmaller projective spaces, and the classification of extremal cases.It also provides a solution of Hartshorne's Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results,using themodern tools of Mori Theory and of rationally connected manifolds.The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once thisembedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry. Nº de ref. del artículo: 9783319267647
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On the Geometry of Some Special Projective Varieties (Lecture Notes of the Unione Matematica Italiana)
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On the Geometry of Some Special Projective Varieties (Lecture Notes of the Unione Matematica Italiana, 18)
Librería: California Books, Miami, FL, Estados Unidos de America
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Condición: New. Nº de ref. del artículo: I-9783319267647
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On the Geometry of Some Special Projective Varieties
Publicado por
Springer International Publishing, Springer Nature Switzerland Feb 2016, 2016
ISBN 10: 3319267647
ISBN 13: 9783319267647
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorne¿s Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern tools of Mori Theory and of rationally connected manifolds.The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once thisembedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch. Nº de ref. del artículo: 9783319267647
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