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The Red Book Of Varieties And Schemes

Author: David Mumford
Publisher: Springer
ISBN: 3662215810
Size: 60.28 MB
Format: PDF, Kindle
View: 3657
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"The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers. Springer-Verlag has done the mathematical community a service by making these notes available once again.... The informal style and frequency of examples make the book an excellent text." (Mathematical Reviews)

Language: en
Pages: 315

The Red Book of Varieties and Schemes

Authors: David Mumford

Categories: Mathematics

Type: BOOK - Published: 2013-11-11 - Publisher: Springer

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"The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers. Springer-Verlag has done the mathematical community a service by making these notes available once again.... The informal style and frequency of examples make the book an excellent text." (Mathematical Reviews)

Language: en
Pages: 308

The Red Book of Varieties and Schemes

Authors: David Mumford

Categories: Mathematics

Type: BOOK - Published: 1995 - Publisher:

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Books about The Red Book of Varieties and Schemes

Language: en
Pages: 314

The Red Book of Varieties and Schemes

Authors: David Mumford

Categories: Mathematics

Type: BOOK - Published: 2004-02-24 - Publisher: Springer

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Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.

Language: de
Pages: 239

Einführung in die kommutative Algebra und algebraische Geometrie

Authors: Ernst Kunz

Categories: Mathematics

Type: BOOK - Published: 2013-03-09 - Publisher: Springer-Verlag

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Books about Einführung in die kommutative Algebra und algebraische Geometrie

Language: en
Pages: 314

The Red Book of Varieties and Schemes

Authors: David Mumford

Categories: Mathematics

Type: BOOK - Published: 2014-03-12 - Publisher: Springer

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Language: de
Pages: 372

Das Rote Buch

Authors: Carl G. Jung

Categories: Mathematics

Type: BOOK - Published: 2013-08-27 - Publisher:

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Books about Das Rote Buch

Language: de
Pages: 964

Ebene algebraische Kurven

Authors: Egbert Brieskorn, Horst Knörrer

Categories: Courbes algébriques

Type: BOOK - Published: 1981 - Publisher:

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Books about Ebene algebraische Kurven

Language: en
Pages: 270

The Geometry of Moduli Spaces of Sheaves

Authors: Daniel Huybrechts, Manfred Lehn

Categories: Technology & Engineering

Type: BOOK - Published: 2013-11-13 - Publisher: Vieweg+Teubner Verlag

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This book is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of recent research results on the geometry of moduli spaces. The first part introduces the basic concepts in the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration, Grothendieck's Quot-scheme. It presents detailed proofs of the Grauert-Mülich Theorem, the Bogomolov Inequality, the semistability of tensor products, and the boundedness of the family of semistable sheaves. It also gives a self-contained account of the construction of moduli spaces of semistable sheaves on a projective variety à la Gieseker, Maruyama, and Simpson. The second part presents some of the recent results of the geometry of moduli spaces of sheaves on an algebraic surface, following work of Mukai, O'Grady, Gieseker, Li and many others. In particular, moduli spaces of sheaves on K3 surfaces and determinant line bundles on the moduli spaces are treated in some detail. Other topics include the Serre correspondence, restriction of stable bundles to curves, symplectic structures, irreducibility and Kodaira-dimension of moduli spaces.

Language: de
Pages: 212

Vorlesungen über Himmelsmechanik

Authors: Carl Ludwig Siegel

Categories: Mathematics

Type: BOOK - Published: 2013-03-08 - Publisher: Springer-Verlag

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Books about Vorlesungen über Himmelsmechanik

Language: de
Pages: 177

Ebene algebraische Kurven

Authors: Gerd Fischer

Categories: Mathematics

Type: BOOK - Published: 2013-03-07 - Publisher: Springer-Verlag

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Neben den elementaren Dingen, wie Tangenten, Singularitäten und Wendepunkten werden auch schwierigere Begriffe wie lokale Zweige und Geschlecht behandelt. Höhepunkte sind die klassischen Formeln von Plücker und Clebsch, die Beziehungen zwischen verschiedenen globalen und lokalen Invarianten einer Kurve beschreiben.