Affine Algebraic Geometry: Geometry Of Polynomial Rings

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

Affine Algebraic Geometry: Geometry Of Polynomial Rings - 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 Affine Algebraic Geometry: Geometry Of Polynomial Rings write by Masayoshi Miyanishi. This book was released on 2023-12-05. Affine Algebraic Geometry: Geometry Of Polynomial Rings available in PDF, EPUB and Kindle. 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

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

Polynomial Rings and Affine Algebraic 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 Polynomial Rings and Affine Algebraic Geometry write by Shigeru Kuroda. This book was released on 2020-03-27. Polynomial Rings and Affine Algebraic Geometry available in PDF, EPUB and Kindle. 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.

Polynomial Rings and Affine Algebraic Geometry

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

Polynomial Rings and Affine Algebraic 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 Polynomial Rings and Affine Algebraic Geometry write by Shigeru Kuroda. This book was released on 2020. Polynomial Rings and Affine Algebraic Geometry available in PDF, EPUB and Kindle. 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.

Polynomial Rings and Affine Spaces

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

Polynomial Rings and 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 Polynomial Rings and Affine Spaces write by Masayoshi Nagata. This book was released on 1978. Polynomial Rings and Affine Spaces available in PDF, EPUB and Kindle. 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.

An Invitation to Algebraic Geometry

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 978/5 ( reviews)

An Invitation to Algebraic 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 An Invitation to Algebraic Geometry write by Karen E. Smith. This book was released on 2013-03-09. An Invitation to Algebraic Geometry available in PDF, EPUB and Kindle. This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.