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The Red Book Of Varieties And Schemes

The Red Book Of Varieties And Schemes
Author: David Mumford
Publisher: Springer
ISBN: 3662215810
Size: 60.28 MB
Format: PDF, Kindle
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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)
The Red Book of Varieties and Schemes
Language: en
Pages: 315
Authors: David Mumford
Categories: Mathematics
Type: BOOK - Published: 2013-11-11 - Publisher: Springer
"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)
The Red Book of Varieties and Schemes
Language: en
Pages: 308
Authors: David Mumford
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher:
Books about The Red Book of Varieties and Schemes
The Red Book of Varieties and Schemes
Language: en
Pages: 314
Authors: David Mumford
Categories: Mathematics
Type: BOOK - Published: 2004-02-24 - Publisher: Springer
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.
Einführung in die kommutative Algebra und algebraische Geometrie
Language: de
Pages: 239
Authors: Ernst Kunz
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer-Verlag
Books about Einführung in die kommutative Algebra und algebraische Geometrie
The Red Book of Varieties and Schemes
Language: en
Pages: 314
Authors: David Mumford
Categories: Mathematics
Type: BOOK - Published: 2014-03-12 - Publisher: Springer
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.
Das Rote Buch
Language: de
Pages: 372
Authors: Carl G. Jung
Categories: Mathematics
Type: BOOK - Published: 2013-08-27 - Publisher:
Books about Das Rote Buch
Ebene algebraische Kurven
Language: de
Pages: 964
Authors: Egbert Brieskorn, Horst Knörrer
Categories: Courbes algébriques
Type: BOOK - Published: 1981 - Publisher:
Books about Ebene algebraische Kurven
The Geometry of Moduli Spaces of Sheaves
Language: en
Pages: 270
Authors: Daniel Huybrechts, Manfred Lehn
Categories: Technology & Engineering
Type: BOOK - Published: 2013-11-13 - Publisher: Vieweg+Teubner Verlag
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.
Vorlesungen über Himmelsmechanik
Language: de
Pages: 212
Authors: Carl Ludwig Siegel
Categories: Mathematics
Type: BOOK - Published: 2013-03-08 - Publisher: Springer-Verlag
Books about Vorlesungen über Himmelsmechanik
Ebene algebraische Kurven
Language: de
Pages: 177
Authors: Gerd Fischer
Categories: Mathematics
Type: BOOK - Published: 2013-03-07 - Publisher: Springer-Verlag
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.