Polynomial Rings And Affine Spaces

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Polynomial Rings And Affine Spaces

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Author : Masayoshi Nagata
language : en
Publisher: American Mathematical Soc.
Release Date : 1978

Polynomial Rings And Affine Spaces written by Masayoshi Nagata and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Geometry, Affine categories.

This volume contains expository lectures from the Conference Board of the Mathematical Sciences Regional Conference held at Northern Illinois University on July 25-29, 1977.

Polynomial Rings And Affine Spaces

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Author : Masayoshi Nagata
language : en
Publisher: American Mathematical Soc.
Release Date : 1978

Polynomial Rings And Affine Spaces written by Masayoshi Nagata and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.

This volume contains expository lectures from the Conference Board of the Mathematical Sciences Regional Conference held at Northern Illinois University on July 25-29, 1977.

Affine Algebraic Geometry Geometry Of Polynomial Rings

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Author : Masayoshi Miyanishi
language : en
Publisher: World Scientific
Release Date : 2023-12-05

Affine Algebraic Geometry Geometry Of Polynomial Rings written by Masayoshi Miyanishi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-05 with Mathematics categories.

Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties. For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial rings are fundamental building blocks of algebraic geometry. Progress was rapid since the Abhyankar-Moh-Suzuki Theorem of embedded affine line was proved, and logarithmic geometry was introduced by Iitaka and Kawamata.Readers will find the book covers vast basic material on an extremely rigorous level:

Stable Categories And Structured Ring Spectra

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Author : Andrew J. Blumberg
language : en
Publisher: Cambridge University Press
Release Date : 2022-07-21

Stable Categories And Structured Ring Spectra written by Andrew J. Blumberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-21 with Mathematics categories.

A graduate-level introduction to the homotopical technology in use at the forefront of modern algebraic topology.

Algebraic Theory Of Locally Nilpotent Derivations

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Author : Gene Freudenburg
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-18

Algebraic Theory Of Locally Nilpotent Derivations written by Gene Freudenburg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-18 with Mathematics categories.

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.

Quadratic And Hermitian Forms Over Rings

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Author : Max-Albert Knus
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Quadratic And Hermitian Forms Over Rings written by Max-Albert Knus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

From its birth (in Babylon?) till 1936 the theory of quadratic forms dealt almost exclusively with forms over the real field, the complex field or the ring of integers. Only as late as 1937 were the foundations of a theory over an arbitrary field laid. This was in a famous paper by Ernst Witt. Still too early, apparently, because it took another 25 years for the ideas of Witt to be pursued, notably by Albrecht Pfister, and expanded into a full branch of algebra. Around 1960 the development of algebraic topology and algebraic K-theory led to the study of quadratic forms over commutative rings and hermitian forms over rings with involutions. Not surprisingly, in this more general setting, algebraic K-theory plays the role that linear algebra plays in the case of fields. This book exposes the theory of quadratic and hermitian forms over rings in a very general setting. It avoids, as far as possible, any restriction on the characteristic and takes full advantage of the functorial aspects of the theory. The advantage of doing so is not only aesthetical: on the one hand, some classical proofs gain in simplicity and transparency, the most notable examples being the results on low-dimensional spinor groups; on the other hand new results are obtained, which went unnoticed even for fields, as in the case of involutions on 16-dimensional central simple algebras. The first chapter gives an introduction to the basic definitions and properties of hermitian forms which are used throughout the book.

Interactions Between Ring Theory And Representations Of Algebras

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Author : Freddy Van Oystaeyen
language : en
Publisher: CRC Press
Release Date : 2000-04-05

Interactions Between Ring Theory And Representations Of Algebras written by Freddy Van Oystaeyen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-05 with Mathematics categories.

This work is based on a set of lectures and invited papers presented at a meeting in Murcia, Spain, organized by the European Commission's Training and Mobility of Researchers (TMR) Programme. It contains information on the structure of representation theory of groups and algebras and on general ring theoretic methods related to the theory.

Automorphisms Of Affine Spaces

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Author : Arno van den Essen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Automorphisms Of Affine Spaces written by Arno van den Essen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

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.

Polynomial Rings And Affine Algebraic Geometry

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Author : Shigeru Kuroda
language : en
Publisher: Springer Nature
Release Date : 2020-03-27

Polynomial Rings And Affine Algebraic Geometry written by Shigeru Kuroda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-27 with Mathematics categories.

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.

African Americans In Mathematics Ii

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Author : Nathaniel Dean
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

African Americans In Mathematics Ii written by Nathaniel Dean and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Biography & Autobiography categories.

This volume presents the proceedings of the Fourth Conference for African-American Researchers in the Mathematical Sciences held at the Center for Research on Parallel Computation at Rice University (Houston). The included talks and poster presentations offer a broad perspective to the critical issues involving minority participation in mathematics. The issues explored are relevant not only to African American researchers, but also to the mathematical community in general. This volume is the second published by the AMS (see DIMACS series, volume 15) presenting expository and research papers by distinguished African American mathematicians. In addition to filling the existing gap on African American contributions to mathematics, this book provides leadership direction and role models for students.