Author: Joseph Khoury
Publisher:
ISBN:
Category : Nilpotent Lie groups
Languages : en
Pages : 348
Book Description
Locally Nilpotent Derivations and Their Rings of Constants
Author: Joseph Khoury
Publisher:
ISBN:
Category : Nilpotent Lie groups
Languages : en
Pages : 348
Book Description
Publisher:
ISBN:
Category : Nilpotent Lie groups
Languages : en
Pages : 348
Book Description
Algebraic Theory of Locally Nilpotent Derivations
Author: Gene Freudenburg
Publisher: 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.
Publisher: 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.
Algebraic Theory of Locally Nilpotent Derivations
Author: Gene Freudenburg
Publisher: 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.
Publisher: 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, Morphisms and Ga-actions
Polynomial Rings and Affine Algebraic Geometry
Author: Shigeru Kuroda
Publisher: Springer Nature
ISBN: 3030421368
Category : Mathematics
Languages : en
Pages : 317
Book Description
This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The topics covered include group actions and linearization, automorphism groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture, classification of curves and surfaces, real forms of complex varieties, and questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.
Publisher: Springer Nature
ISBN: 3030421368
Category : Mathematics
Languages : en
Pages : 317
Book Description
This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The topics covered include group actions and linearization, automorphism groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture, classification of curves and surfaces, real forms of complex varieties, and questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.
Locally finite and locally nilpotent derivations with applications to polynomial flows and polynomial morphisms
Affine Algebraic Geometry
Author: Jaime Gutierrez
Publisher: 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.
Publisher: 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 Huneke
Publisher: 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.
Publisher: 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
Integral Domains Inside Noetherian Power Series Rings: Constructions and Examples
Author: William Heinzer
Publisher: American Mathematical Soc.
ISBN: 1470466422
Category : Education
Languages : en
Pages : 426
Book Description
Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach. The authors put these results in perspective; often the proofs of properties of classical examples are simplified. The book will serve as a helpful resource for researchers working in commutative algebra.
Publisher: American Mathematical Soc.
ISBN: 1470466422
Category : Education
Languages : en
Pages : 426
Book Description
Power series provide a technique for constructing examples of commutative rings. In this book, the authors describe this technique and use it to analyse properties of commutative rings and their spectra. This book presents results obtained using this approach. The authors put these results in perspective; often the proofs of properties of classical examples are simplified. The book will serve as a helpful resource for researchers working in commutative algebra.