Polynomial Automorphisms and the Jacobian Conjecture

New Results from the Beginning of the 21st Century

Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola (Autoren)

Buch | Softcover

XII, 189 Seiten

2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-60533-9 (ISBN)

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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	31.03.2021
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