ISBN: 9783642309878
This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two fundamental finiteness properties of the semigroup Z_(≥0)sub… Mehr…
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ISBN: 9783642309878
This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two fundamental finiteness properties of the semigroup Z_( 0)^n that e… Mehr…
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ISBN: 9783642309878
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Geometry of the Semigroup Z_(?0)^n and its Applications to Combinatorics, Algebra and Differential Equations - Erstausgabe
2016, ISBN: 9783642309878
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Translator: Chulkov, Sergey, Springer, Hardcover, Auflage: 1st ed. 2022, 120 Seiten, Publiziert: 2016-07-10T00:00:01Z, Produktgruppe: Book, Algebra, Mathematics, Science, Nature & Maths, … Mehr…
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Geometry of the Semigroup Z_(?0)^n and its Applications to Combinatorics, Algebra and Differential Equations - Erstausgabe
2016, ISBN: 9783642309878
Gebundene Ausgabe
Translator: Chulkov, Sergey, Springer, Hardcover, Auflage: 1st ed. 2020, 120 Seiten, Publiziert: 2016-07-10T00:00:01Z, Produktgruppe: Book, Algebra, Mathematics, Science, Nature & Math, S… Mehr…
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Geometry of the Semigroup Z_(?0)^n and its Applications to Combinatorics, Algebra and Differential Equations Sergey Chulkov Author - neues Buch
ISBN: 9783642309878
This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two fundamental finiteness properties of the semigroup Z_(≥0)sub… Mehr…
Chulkov, Sergey;Khovanskii, Askold:
Geometry of the Semigroup Z_(=0)^n and its Applications to Combinatorics, Algebra and Differential Equations - neues BuchISBN: 9783642309878
This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two fundamental finiteness properties of the semigroup Z_( 0)^n that e… Mehr…
Geometry of the Semigroup Z_( 0)^n and its Applications to Combinatorics, Algebra and Differential Equations - gebunden oder broschiert
ISBN: 9783642309878
Hardback, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG], This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops t… Mehr…
Geometry of the Semigroup Z_(?0)^n and its Applications to Combinatorics, Algebra and Differential Equations - Erstausgabe
2016, ISBN: 9783642309878
Gebundene Ausgabe
Translator: Chulkov, Sergey, Springer, Hardcover, Auflage: 1st ed. 2022, 120 Seiten, Publiziert: 2016-07-10T00:00:01Z, Produktgruppe: Book, Algebra, Mathematics, Science, Nature & Maths, … Mehr…
Geometry of the Semigroup Z_(?0)^n and its Applications to Combinatorics, Algebra and Differential Equations - Erstausgabe
2016, ISBN: 9783642309878
Gebundene Ausgabe
Translator: Chulkov, Sergey, Springer, Hardcover, Auflage: 1st ed. 2020, 120 Seiten, Publiziert: 2016-07-10T00:00:01Z, Produktgruppe: Book, Algebra, Mathematics, Science, Nature & Math, S… Mehr…
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This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two fundamental finiteness properties of the semigroup Z_(≥0)^n that elucidate key aspects of theories propounded by, among others, Hilbert and Kouchnirenko.
The authors provide explanations for numerous results in the field that appear at first glance to be unrelated. The first finiteness property relates to the fact that Z_(≥0)^n can be represented in the form of a finite union of shifted n-dimensional octants, while the second asserts that any co-ideal of the semigroup can be represented as a finite, disjoint union of shifted co-ordinate octants.
The applications of their work include proof that Hilbert’s implication that dimension d of the affine variety X equals the degree of Hilbert’s polynomial can be developed until its degree X equates to the leading coefficient of the Hilbert polynomial multiplied by d. The volume is a major forward step in
Detailangaben zum Buch - Geometry of the Semigroup Z_(?0)^n and its Applications to Combinatorics, Algebra and Differential Equations Sergey Chulkov Author
EAN (ISBN-13): 9783642309878
ISBN (ISBN-10): 3642309879
Gebundene Ausgabe
Erscheinungsjahr: 2016
Herausgeber: Springer Berlin Heidelberg Core >2
Buch in der Datenbank seit 2014-04-07T22:44:49+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-17T14:58:46+01:00 (Berlin)
ISBN/EAN: 9783642309878
ISBN - alternative Schreibweisen:
3-642-30987-9, 978-3-642-30987-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: kolchin, hilbert
Titel des Buches: differential algebra and algebraic groups, combinatorics first course, differential geometry, differential equations
Daten vom Verlag:
Autor/in: Sergey Chulkov; Askold Khovanskii
Titel: Geometry of the Semigroup Z_(≥0)^n and its Applications to Combinatorics, Algebra and Differential Equations
Verlag: Springer; Springer Berlin
Erscheinungsjahr: 2024-08-26
Berlin; Heidelberg; DE
Übersetzer/in: Sergey Chulkov
Sprache: Englisch
42,75 € (DE)
43,95 € (AT)
53,60 CHF (CH)
Not yet available
Approx. 120 p. 8 illus.
BB; Geometry; Hardcover, Softcover / Mathematik/Geometrie; Geometrie; Verstehen; Mathematik; Hilbert functions; Macaulay’s theorem; convergence of formal solutions; ordered semigroups; solutions of partial differential equations systems; Algebra; Combinatorics; Differential Geometry; Convex and Discrete Geometry; Geometry; Algebra; Discrete Mathematics; Differential Geometry; Convex and Discrete Geometry; Algebra; Diskrete Mathematik; Differentielle und Riemannsche Geometrie; EA
This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two fundamental finiteness properties of the semigroup Z_(≥0)^n that elucidate key aspects of theories propounded by, among others, Hilbert and Kouchnirenko.
The authors provide explanations for numerous results in the field that appear at first glance to be unrelated. The first finiteness property relates to the fact that Z_(≥0)^n can be represented in the form of a finite union of shifted n-dimensional octants, while the second asserts that any co-ideal of the semigroup can be represented as a finite, disjoint union of shifted co-ordinate octants.
The applications of their work include proof that Hilbert’s implication that dimension d of the affine variety X equals the degree of Hilbert’s polynomial can be developed until its degree X equates to the leading coefficient of the Hilbert polynomial multiplied by d. The volume is a major forward step in this field.
I Geometry and combinatorics of semigroups.- 1 Elementary geometry of the semigroup Zn>0.- 2 Properties of an ordered semigroup.- 3 Hilbert functions and their analogues.- II Applications: 4 Kouchnirenko`s theorem on number of solutions of a polynomial system of equations. On the Grothendieck groups of the semigroup of finite subsets of Zn and compact subsets of Rn.- 5 Differential Grobner bases and analytical theory of partial differential equations.- 6 On the Convergence of Formal Solutions of a System of Partial Differential Equations.- A Hilbert and Hilbert-Samuel polynomials and Partial Differential Equations.- References
This vital contribution to the mathematical literature on combinatorics, algebra and differential equations develops two fundamental finiteness properties of the semigroup Z_(≥0)^n that elucidate key aspects of theories propounded by, among others, Hilbert and Kouchnirenko.
The authors provide explanations for numerous results in the field that appear at first glance to be unrelated. The first finiteness property relates to the fact that Z_(≥0)^n can be represented in the form of a finite union of shifted n-dimensional octants, while the second asserts that any co-ideal of the semigroup can be represented as a finite, disjoint union of shifted co-ordinate octants.
The applications of their work include proof that Hilbert’s implication that dimension d of the affine variety X equals the degree of Hilbert’s polynomial can be developed until its degree X equates to the leading coefficient of the Hilbert polynomial multiplied by d. The volume is a major forward step in this field
Unique collection of material on the topic
Clear and as simple as possible presentation
Wide range of problems considered
Along with general theorems and constructions their most important special cases are considered in detail
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