Téléchargez le livre : Rational Sphere Maps

Rational Sphere Maps

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Éditeur :

Birkhäuser


Collection :

Progress in Mathematics

Paru le : 2021-07-12

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Description

This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics.  Synthesizing research from the last forty years, the author aims for accessibility by balancing abstract concepts with concrete examples.  Numerous computations are worked out in detail, and more than 100 optional exercises are provided throughout for readers wishing to better understand challenging material.

The text begins by presenting core concepts in complex analysis and a wide variety of results about rational sphere maps.  The subsequent chapters discuss combinatorial and optimization results about monomial sphere maps, groups associated with rational sphere maps, relevant complex and CR geometry, and some geometric properties of rational sphere maps.  Fifteen open problems appear in the final chapter, with references provided to appropriate parts of the text. These problemswill encourage readers to apply the material to future research.


Rational Sphere Maps will be of interest to researchers and graduate students studying several complex variables and CR geometry.  Mathematicians from other areas, such as number theory, optimization, and combinatorics, will also find the material appealing.


See the author’s research web page for a list of typos, clarifications, etc.: https://faculty.math.illinois.edu/~jpda/research.html
Pages
233 pages
Collection
Progress in Mathematics
Parution
2021-07-12
Marque
Birkhäuser
EAN papier
9783030758080
EAN PDF
9783030758097
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
2959 Ko
Prix
126,59 €
EAN EPUB
9783030758097
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
23
Taille du fichier
15391 Ko
Prix
126,59 €

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