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On the Geometry of Some Special Projective Varieties: 18 (Lecture Notes of the Unione Matematica Italiana) - Tapa blanda
Libro 17 de 26: Lecture Notes of the Unione Matematica Italiana
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
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On the Geometry of Some Special Projective Varieties (eng)
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On the Geometry of Some Special Projective Varieties
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On the Geometry of Some Special Projective Varieties
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On the Geometry of Some Special Projective Varieties
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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 (Lecture Notes of the Unione Matematica Italiana, 18)
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On the Geometry of Some Special Projective Varieties
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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
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt 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
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On the Geometry of Some Special Projective Varieties
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ISBN 10: 3319267647
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. 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 KG, Sachsenplatz 4-6, 1201 Wien 260 pp. Englisch. Nº de ref. del artículo: 9783319267647
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