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Affine Algebraic Geometry

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Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : 762/5 ( reviews)

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Book Synopsis Affine Algebraic Geometry by : Jaime Gutierrez

Download or read book Affine Algebraic Geometry written by Jaime Gutierrez. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Affine Algebraic Geometry - Proceedings Of The Conference

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Release : 2013-05-20
Genre : Mathematics
Kind : eBook
Book Rating : 712/5 ( reviews)

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Book Synopsis Affine Algebraic Geometry - Proceedings Of The Conference by : Kayo Masuda

Download or read book Affine Algebraic Geometry - Proceedings Of The Conference written by Kayo Masuda. This book was released on 2013-05-20. Available in PDF, EPUB and Kindle. Book excerpt: The present volume grew out of an international conference on affine algebraic geometry held in Osaka, Japan during 3-6 March 2011 and is dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday. It contains 16 refereed articles in the areas of affine algebraic geometry, commutative algebra and related fields, which have been the working fields of Professor Miyanishi for almost 50 years. Readers will be able to find recent trends in these areas too. The topics contain both algebraic and analytic, as well as both affine and projective, problems. All the results treated in this volume are new and original which subsequently will provide fresh research problems to explore. This volume is suitable for graduate students and researchers in these areas.

Affine Algebraic Geometry: Geometry Of Polynomial Rings

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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:

Algebraic Geometry 1

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Author :
Release : 1999
Genre : Mathematics
Kind : eBook
Book Rating : 621/5 ( reviews)

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Book Synopsis Algebraic Geometry 1 by : Kenji Ueno

Download or read book Algebraic Geometry 1 written by Kenji Ueno. This book was released on 1999. Available in PDF, EPUB and Kindle. Book excerpt: By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definition of schemes and describes some of their elementary properties.

Affine Space Fibrations

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Release : 2021-07-05
Genre : Mathematics
Kind : eBook
Book Rating : 569/5 ( reviews)

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Book Synopsis Affine Space Fibrations by : Rajendra V. Gurjar

Download or read book Affine Space Fibrations written by Rajendra V. Gurjar. This book was released on 2021-07-05. Available in PDF, EPUB and Kindle. Book excerpt: Affine algebraic geometry has progressed remarkably in the last half a century, and its central topics are affine spaces and affine space fibrations. This authoritative book is aimed at graduate students and researchers alike, and studies the geometry and topology of morphisms of algebraic varieties whose general fibers are isomorphic to the affine space while describing structures of algebraic varieties with such affine space fibrations.

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