Polynomial Automorphisms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polynomial Automorphisms write by Arno van den Essen. This book was released on 2000-09. Polynomial Automorphisms available in PDF, EPUB and Kindle. Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.
Polynomial Automorphisms
Polynomial Automorphisms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polynomial Automorphisms write by Arno van den Essen. This book was released on 2012-12-06. Polynomial Automorphisms available in PDF, EPUB and Kindle. Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.
Polynomial Automorphisms and the Jacobian Conjecture
Polynomial Automorphisms and the Jacobian Conjecture - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polynomial Automorphisms and the Jacobian Conjecture write by Arno van den Essen. This book was released on 2021-03-31. Polynomial Automorphisms and the Jacobian Conjecture available in PDF, EPUB and Kindle. 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.
Automorphisms in Birational and Affine Geometry
Automorphisms in Birational and Affine Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphisms in Birational and Affine Geometry write by Ivan Cheltsov. This book was released on 2014-06-11. Automorphisms in Birational and Affine Geometry available in PDF, EPUB and Kindle. The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics. Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference “Groups of Automorphisms in Birational and Affine Geometry” held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields.
Automorphisms of Affine Spaces
Automorphisms of Affine Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphisms of Affine Spaces write by Arno van den Essen. This book was released on 2013-03-09. Automorphisms of Affine Spaces available in PDF, EPUB and Kindle. Automorphisms of Affine Spaces describes the latest results concerning several conjectures related to polynomial automorphisms: the Jacobian, real Jacobian, Markus-Yamabe, Linearization and tame generators conjectures. Group actions and dynamical systems play a dominant role. Several contributions are of an expository nature, containing the latest results obtained by the leaders in the field. The book also contains a concise introduction to the subject of invertible polynomial maps which formed the basis of seven lectures given by the editor prior to the main conference. Audience: A good introduction for graduate students and research mathematicians interested in invertible polynomial maps.
