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Frontiers in Mathematics

Polynomial Automorphisms and the Jacobian Conjecture

New Results from the Beginning of the 21st Century

Authors: van den Essen, Arno, Kuroda, Shigeru, Crachiola, Anthony J.

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  • This book, the first in its field to write about polynomial automorphisms
  • It is the first book containing the latest results concerning polynomial automorphisms 
  • It gives detailed accounts by leading researchers in the field
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eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-030-60535-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-030-60533-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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About this book

This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000.  Many new exciting results have been obtained in the past two decades, including the solution of Nagata's Conjecture, the complete solution of Hilbert's fourteenth problem, the equivalence of the Jacobian Conjecture and the Dixmier Conjecture, the symmetric reduction of the Jacobian Conjecture, the theory of Mathieu-Zhao spaces and counterexamples to the Cancellation problem in positive characteristic. These and many more results are discussed in detail in this work.
The book is aimed at graduate students and researchers in the field of Affine Algebraic Geometry. Exercises are included at the end of each section.

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-030-60535-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-030-60533-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Polynomial Automorphisms and the Jacobian Conjecture
Book Subtitle
New Results from the Beginning of the 21st Century
Authors
Series Title
Frontiers in Mathematics
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-60535-3
DOI
10.1007/978-3-030-60535-3
Softcover ISBN
978-3-030-60533-9
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XII, 189
Number of Illustrations
2 b/w illustrations
Topics