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Shustin, Eugenii;Lossen, Christoph;Greuel, Gert-Martin:
Singular Algebraic Curves - gebunden oder broschiert2019, ISBN: 9783030033491
[ED: Hardcover], [PU: Springer / Springer, Berlin], Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject … Mehr…
ISBN: 9783030033491
Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern develop… Mehr…
2019, ISBN: 303003349X
Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern develop… Mehr…
2019, ISBN: 9783030033491
Gebundene Ausgabe
[ED: Gebunden], [PU: Springer International Publishing], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Systematically treats  th… Mehr…
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Detailangaben zum Buch - Singular Algebraic Curves by Gert-Martin Greuel Hardcover | Indigo Chapters
EAN (ISBN-13): 9783030033491
ISBN (ISBN-10): 303003349X
Gebundene Ausgabe
Erscheinungsjahr: 2019
Herausgeber: Gert-Martin Greuel
Buch in der Datenbank seit 2018-11-19T09:03:06+01:00 (Berlin)
Detailseite zuletzt geändert am 2023-12-25T17:22:43+01:00 (Berlin)
ISBN/EAN: 303003349X
ISBN - alternative Schreibweisen:
3-030-03349-X, 978-3-030-03349-1
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: martin, christoph ktz, greuel
Titel des Buches: algebraic curves, gert
Daten vom Verlag:
Autor/in: Gert-Martin Greuel; Christoph Lossen; Eugenii Shustin
Titel: Springer Monographs in Mathematics; Singular Algebraic Curves - With an Appendix by Oleg Viro
Verlag: Springer; Springer International Publishing
553 Seiten
Erscheinungsjahr: 2019-01-10
Cham; CH
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
69,54 € (DE)
71,49 € (AT)
77,00 CHF (CH)
POD
XX, 553 p. 74 illus.
BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebraische Geometrie; Verstehen; Mathematik; 14-02; 14Hxx; 14H10; 14H20; 14F17; 14B07; 14M25; 14J60; 14P25; 14Q05; Algebraic Curves; Equisingular Families of Curves; Zero-Dimensional Schemes; Cohomology Vanishing Theory; Algebraic Geometry; EA
Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area.Systematically treats the global geometry of equisingular families of algebraic curves on algebraic surfaces Accumulates the material spread over numerous, recent and classical journal publications, and elaborates it into a unified theory which allows one to approach all main problems in the subject and to answer several classical questions in this area Provides a guide to a variety of methods, results and applications of singular algebraic curves and their families Offers a detailed presentation of the background stuff (including the global deformation theory and the original Viro patchworking construction) which leads the reader to the main ideas of the theory
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