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Geometry of the Semigroup Z_(≥0)^n and its Applications to Combinatorics, Algebra and Differential Equations

Authors: Chulkov, Sergey, Khovanskii, Askold

  • 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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eBook 32,12 €
price for Korea, Republic of (South Korea) (gross)
  • The eBook version of this title will be available soon
  • 까지: June 12, 2020
  • ISBN 978-3-642-30988-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 39,95 €
price for Korea, Republic of (South Korea) (gross)
  • 까지: June 12, 2020
  • ISBN 978-3-642-30987-8
  • Free shipping for individuals worldwide
About this Textbook

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.

Buy this book

eBook 32,12 €
price for Korea, Republic of (South Korea) (gross)
  • The eBook version of this title will be available soon
  • 까지: June 12, 2020
  • ISBN 978-3-642-30988-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 39,95 €
price for Korea, Republic of (South Korea) (gross)
  • 까지: June 12, 2020
  • ISBN 978-3-642-30987-8
  • Free shipping for individuals worldwide

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Bibliographic Information

Bibliographic Information
Book Title
Geometry of the Semigroup Z_(≥0)^n and its Applications to Combinatorics, Algebra and Differential Equations
Authors
Translated by
Chulkov, S.
Copyright
2020
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag GmbH Germany, part of Springer Nature
eBook ISBN
978-3-642-30988-5
Hardcover ISBN
978-3-642-30987-8
Edition Number
1
Number of Illustrations
8 b/w illustrations
Topics