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Polynomial Rings and Affine Spaces

1978 Geometry, Affine
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Release : 1978
Genre : Geometry, Affine
Kind : eBook
Book Rating : 875/5 ( reviews)

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Book Synopsis Polynomial Rings and Affine Spaces by : Masayoshi Nagata

Download or read book Polynomial Rings and Affine Spaces written by Masayoshi Nagata. This book was released on 1978. Available in PDF, EPUB and Kindle. Book excerpt: 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

2023-12-05 Mathematics
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Release : 2023-12-05
Genre : Mathematics
Kind : eBook
Book Rating : 10X/5 ( reviews)

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Book Synopsis Affine Algebraic Geometry: Geometry Of Polynomial Rings by : Masayoshi Miyanishi

Download or read book Affine Algebraic Geometry: Geometry Of Polynomial Rings written by Masayoshi Miyanishi. This book was released on 2023-12-05. Available in PDF, EPUB and Kindle. Book excerpt: 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:

Polynomial Rings and Affine Algebraic Geometry

2020-03-27 Mathematics
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Release : 2020-03-27
Genre : Mathematics
Kind : eBook
Book Rating : 368/5 ( reviews)

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Book Synopsis Polynomial Rings and Affine Algebraic Geometry by : Shigeru Kuroda

Download or read book Polynomial Rings and Affine Algebraic Geometry written by Shigeru Kuroda. This book was released on 2020-03-27. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Automorphisms of Affine Spaces

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 555/5 ( reviews)

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Book Synopsis Automorphisms of Affine Spaces by : Arno van den Essen

Download or read book Automorphisms of Affine Spaces written by Arno van den Essen. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: 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

2020 Geometry, Affine
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Release : 2020
Genre : Geometry, Affine
Kind : eBook
Book Rating : 373/5 ( reviews)

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Book Synopsis Polynomial Rings and Affine Algebraic Geometry by : Shigeru Kuroda

Download or read book Polynomial Rings and Affine Algebraic Geometry written by Shigeru Kuroda. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers together selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry conference which was held at the Tokyo Metropolitan University on February 12-26, 2018, in Tokyo, Japan. In this book, the reader will find some of the latest research conducted by an international group of experts in affine and projective algebraic geometry. 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. The articles contained in this volume will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as in certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.

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