Author: Joseph KhouryPublisher:
ISBN:
Category : Nilpotent Lie groups
Languages : en
Pages : 348
Book Description
Locally Nilpotent Derivations and Their Rings of Constants
Author: Joseph KhouryPublisher:
ISBN:
Category : Nilpotent Lie groups
Languages : en
Pages : 348
Book Description
Algebraic Theory of Locally Nilpotent Derivations
Author: Gene FreudenburgPublisher: Springer
ISBN: 3662553503
Category : Mathematics
Languages : en
Pages : 333
Book Description
This book explores the theory and application of locally nilpotent derivations, a subject motivated by questions in affine algebraic geometry and having fundamental connections to areas such as commutative algebra, representation theory, Lie algebras and differential equations. The author provides a unified treatment of the subject, beginning with 16 First Principles on which the theory is based. These are used to establish classical results, such as Rentschler's Theorem for the plane and the Cancellation Theorem for Curves. More recent results, such as Makar-Limanov's theorem for locally nilpotent derivations of polynomial rings, are also discussed. Topics of special interest include progress in classifying additive actions on three-dimensional affine space, finiteness questions (Hilbert's 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem. A lot of new material is included in this expanded second edition, such as canonical factorization of quotient morphisms, and a more extended treatment of linear actions. The reader will also find a wealth of examples and open problems and an updated resource for future investigations.
Locally Finite and Locally Nilpotent Derivations with Applications to Polynomial Flows, Morphisms and Ga-actions
Author: Arno van den EssenAlgebraic Theory of Locally Nilpotent Derivations
Author: Gene FreudenburgPublisher: Springer Science & Business Media
ISBN: 3540295232
Category : Mathematics
Languages : en
Pages : 266
Book Description
This book explores the theory and application of locally nilpotent derivations. It provides a unified treatment of the subject, beginning with sixteen First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler’s Theorem for the plane, right up to the most recent results, such as Makar-Limanov’s Theorem for locally nilpotent derivations of polynomial rings. The book also includes a wealth of pexamples and open problems.
Locally finite and locally nilpotent derivations with applications to polynomial flows and polynomial morphisms
Author: Arno van den EssenAffine Algebraic Geometry
Author: Jaime GutierrezPublisher: American Mathematical Soc.
ISBN: 0821834762
Category : Mathematics
Languages : en
Pages : 288
Book Description
A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS) and the Real Sociedad Matematica Espanola (RSME) held in Seville (Spain). This volume contains articles by participating speakers at the Session. The book contains research and survey papers discussing recent progress on the Jacobian Conjecture and affine algebraic geometry and includes a large collection of open problems. It is suitable for graduate students and research mathematicians interested in algebraic geometry.
Integral Closure of Ideals, Rings, and Modules
Author: Craig HunekePublisher: Cambridge University Press
ISBN: 0521688604
Category : Mathematics
Languages : en
Pages : 446
Book Description
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Locally finite and locally nilpotent derivations with applications to polynomial flows, morphisms and Ga-ctions
Author: Arno van den EssenLocally Nilpotent Derivations and Their Applications
Author: A. R. P. van den EssenPublisher:
ISBN:
Category :
Languages : en
Pages : 10
Book Description
Automorphisms of Affine Spaces
Author: Arno van den EssenPublisher: Springer Science & Business Media
ISBN: 9401585555
Category : Mathematics
Languages : en
Pages : 244
Book Description
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.