Polynomial Automorphisms and the Jacobian Conjecture - Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola

Polynomial Automorphisms and the Jacobian Conjecture

New Results from the Beginning of the 21st Century
Buch | Softcover
XII, 189 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-60533-9 (ISBN)
58,84 inkl. MwSt
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.

- The Shestakov-Umirbaev Theory and Nagata's Conjecture. - Counterexamples to Hilbert's Fourteenth Problem. - Prime Characteristic Methods and the Cancellation Problem. - The Jacobian Conjecture: New Equivalences. - Mathieu-Zhao Spaces.

Erscheinungsdatum
Reihe/Serie Frontiers in Mathematics
Zusatzinfo XII, 189 p. 2 illus.
Verlagsort Cham
Sprache englisch
Maße 168 x 240 mm
Gewicht 354 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte Abhyankar-Moh Theorem • Cancellation Problem • Dixmier Conjecture • Face Polynomials • Hilbert's 14th Problem • Jacobian Conjecture • Mathieu-Zhao Spaces • Tame and Wild Automorphisms • Tame Generators Problem
ISBN-10 3-030-60533-7 / 3030605337
ISBN-13 978-3-030-60533-9 / 9783030605339
Zustand Neuware
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