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Deformations of Algebraic Schemes - Edoardo Sernesi
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The study of small and local deformations of algebraic varieties originates in the classical work of Kodaira and Spencer and its formalization by Grothendieck in the late 1950's. It has become increasingly important in algebraic geometry in every context where variational phenomena come into play, and in classification theory, e.g. the study of the local properties of moduli spaces. Today deformation theory is highly formalized and has ramified widely within mathematics. This self-contained The study of small and local deformations of algebraic varieties originates in the classical work of Kodaira and Spencer and its formalization by Grothendieck in the late 1950's. It has become increasingly important in algebraic geometry in every context where variational phenomena come into play, and in classification theory, e.g. the study of the local properties of moduli spaces. Today deformation theory is highly formalized and has ramified widely within mathematics. This self-contained account of deformation theory in classical algebraic geometry (over an algebraically closed field) brings together for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet of everyday relevance to algebraic geometers. Based on Grothendieck's functorial approach it covers formal deformation theory, algebraization, isotriviality, Hilbert schemes, Quot schemes and flag Hilbert schemes. It includes applications to the construction and properties of Severi varieties of families of plane nodal curves, space curves, deformations of quotient singularities, Hilbert schemes of points, local Picard functors, etc. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry. Textbooks New, Books~~Mathematics~~Geometry~~Algebraic, Deformations-of-Algebraic-Schemes~~Edoardo-Sernesi, 999999999, Deformations of Algebraic Schemes, Edoardo Sernesi, 3642067875, Springer Berlin Heidelberg, , , , , Springer Berlin Heidelberg

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Deformations of Algebraic Schemes - Edoardo Sernesi
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Edoardo Sernesi:

Deformations of Algebraic Schemes - Taschenbuch

2010, ISBN: 3642067875

ID: 9612551195

[EAN: 9783642067877], Neubuch, [PU: Springer Nov 2010], This item is printed on demand - Print on Demand Neuware - This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry. The study of small and local deformations of algebraic varieties originates in the classical work of Kodaira and Spencer and its formalization by Grothendieck in the late 1950's. It has become increasingly important in algebraic geometry in every context where variational phenomena come into play, and in classification theory, e.g. the study of the local properties of moduli spaces.Today deformation theory is highly formalized and has ramified widely within mathematics. This self-contained account of deformation theory in classical algebraic geometry (over an algebraically closed field) brings together for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet of everyday relevance to algebraic geometers. Based on Grothendieck's functorial approach it covers formal deformation theory, algebraization, isotriviality, Hilbert schemes, Quot schemes and flag Hilbert schemes. It includes applications to the construction and properties of Severi varieties of families of plane nodal curves, space curves, deformations of quotient singularities, Hilbert schemes of points, local Picard functors, etc. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry. 356 pp. Englisch

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Deformations of Algebraic Schemes - Edoardo Sernesi
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Edoardo Sernesi:
Deformations of Algebraic Schemes - Taschenbuch

2010

ISBN: 3642067875

Paperback, [EAN: 9783642067877], Springer, Springer, Book, [PU: Springer], 2010-11-17, Springer, 952156, Geometry & Topology, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 952174, Pure Mathematics, 952206, Fractals, 952204, Predicate & Propositional Calculus, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 956520, Algebraic Geometry, 956516, Geometry & Topology, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956456, Algebra, 956454, Pure Mathematics, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 15306821, Algebra & Trigonometry, 15306811, Mathematics, 15306801, Sciences, 15115321, Textbooks, 927726, Subjects, 916520, Books, 15306841, Geometry, 15306811, Mathematics, 15306801, Sciences, 15115321, Textbooks, 927726, Subjects, 916520, Books

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Deformations of Algebraic Schemes (Grundlehren der mathematischen Wissenschaften) - Sernesi, Edoardo
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Sernesi, Edoardo:
Deformations of Algebraic Schemes (Grundlehren der mathematischen Wissenschaften) - Taschenbuch

2010, ISBN: 9783642067877

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Paperback, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG], Algebraic Geometry

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Deformations of Algebraic Schemes
Autor:

Sernesi, Edoardo

Titel:

Deformations of Algebraic Schemes

ISBN-Nummer:

9783642067877

This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.

Detailangaben zum Buch - Deformations of Algebraic Schemes


EAN (ISBN-13): 9783642067877
ISBN (ISBN-10): 3642067875
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
356 Seiten
Gewicht: 0,538 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 07.01.2012 21:29:34
Buch zuletzt gefunden am 11.10.2016 12:35:46
ISBN/EAN: 9783642067877

ISBN - alternative Schreibweisen:
3-642-06787-5, 978-3-642-06787-7

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