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Author :
Publisher :
ISBN 13 :
Total Pages : 143 pages
Book Rating : 4.:/5 (112 download)
Download or read book Arithmetic of Affine Del Pezzo Surfaces written by and published by . This book was released on 2019 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 207 pages
Book Rating : 4.:/5 (123 download)
Download or read book Geometry and Arithmetic of Del Pezzo Surfaces of Degree 1 written by and published by . This book was released on 2021 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marcello Robbiani
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (817 download)
Download or read book On the Arithmetic of Toric Del Pezzo Surfaces written by Marcello Robbiani and published by . This book was released on 1996 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tor Dokken
Publisher : Springer Science & Business Media
ISBN 13 : 3540271570
Total Pages : 239 pages
Book Rating : 4.5/5 (42 download)
Download or read book Computational Methods for Algebraic Spline Surfaces written by Tor Dokken and published by Springer Science & Business Media. This book was released on 2006-05-24 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces (“COMPASS”), which was held from September 29 to October 3, 2003, at Schloß Weinberg, Kefermarkt (A- tria). The workshop was mainly devoted to approximate algebraic geometry and its - plications. The organizers wanted to emphasize the novel idea of approximate implici- zation, that has strengthened the existing link between CAD / CAGD (Computer Aided Geometric Design) and classical algebraic geometry. The existing methods for exact implicitization (i. e. , for conversion from the parametric to an implicit representation of a curve or surface) require exact arithmetic and are too slow and too expensive for industrial use. Thus the duality of an implicit representation and a parametric repres- tation is only used for low degree algebraic surfaces such as planes, spheres, cylinders, cones and toroidal surfaces. On the other hand, this duality is a very useful tool for - veloping ef?cient algorithms. Approximate implicitization makes this duality available for general curves and surfaces. The traditional exact implicitization of parametric surfaces produce global rep- sentations, which are exact everywhere. The surface patches used in CAD, however, are always de?ned within a small box only; they are obtained for a bounded parameter domain (typically a rectangle, or – in the case of “trimmed” surface patches – a subset of a rectangle). Consequently, a globally exact representation is not really needed in practice.
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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (958 download)
Download or read book Topics in the Arithmetic of Del Pezzo and K3 Surfaces written by and published by . This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
ISBN 13 : 0821844768
Total Pages : 570 pages
Book Rating : 4.8/5 (218 download)
Download or read book Arithmetic Geometry written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2009 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on survey lectures given at the 2006 Clay Summer School on Arithmetic Geometry at the Mathematics Institute of the University of Gottingen, this tile is intended for graduate students and recent PhD's. It introduces readers to modern techniques and conjectures at the interface of number theory and algebraic geometry.
Author : Robert Silhol
Publisher : Springer
ISBN 13 : 3540706496
Total Pages : 226 pages
Book Rating : 4.5/5 (47 download)
Download or read book Real Algebraic Surfaces written by Robert Silhol and published by Springer. This book was released on 2006-11-14 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fedor Bogomolov
Publisher : Springer Science & Business Media
ISBN 13 : 146146482X
Total Pages : 324 pages
Book Rating : 4.4/5 (614 download)
Download or read book Birational Geometry, Rational Curves, and Arithmetic written by Fedor Bogomolov and published by Springer Science & Business Media. This book was released on 2013-05-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and Calabi-Yau varieties, as well as related questions within the framework of the Minimal Model Program.
Author : Daniel Daigle
Publisher : American Mathematical Soc.
ISBN 13 : 0821883836
Total Pages : 354 pages
Book Rating : 4.8/5 (218 download)
Download or read book Affine Algebraic Geometry written by Daniel Daigle and published by American Mathematical Soc.. This book was released on 2011-01-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony Varilly
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.:/5 (35 download)
Download or read book Arithmetic of Del Pezzo Surfaces of Degree 1 written by Anthony Varilly and published by . This book was released on 2009 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kayo Masuda
Publisher : World Scientific
ISBN 13 : 9814436704
Total Pages : 351 pages
Book Rating : 4.8/5 (144 download)
Download or read book Affine Algebraic Geometry written by Kayo Masuda and published by World Scientific. This book was released on 2013 with total page 351 pages. 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.
Author : Shigeru Kuroda
Publisher : Springer Nature
ISBN 13 : 3030421368
Total Pages : 317 pages
Book Rating : 4.0/5 (34 download)
Download or read book Polynomial Rings and Affine Algebraic Geometry written by Shigeru Kuroda and published by Springer Nature. This book was released on 2020-03-27 with total page 317 pages. 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.
Author : Ivan Cheltsov
Publisher : Springer
ISBN 13 : 3319056816
Total Pages : 509 pages
Book Rating : 4.3/5 (19 download)
Download or read book Automorphisms in Birational and Affine Geometry written by Ivan Cheltsov and published by Springer. This book was released on 2014-06-11 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinite dimensional. The collection covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraic group actions and automorphism groups. It presents original research and surveys and provides a valuable overview of the current state of the art in these topics. Bringing together specialists from projective, birational algebraic geometry and affine and complex algebraic geometry, including Mori theory and algebraic group actions, this book is the result of ensuing talks and discussions from the conference “Groups of Automorphisms in Birational and Affine Geometry” held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highlighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacent fields.
Author : Ivan Arzhantsev
Publisher : Cambridge University Press
ISBN 13 : 1107024625
Total Pages : 539 pages
Book Rating : 4.1/5 (7 download)
Download or read book Cox Rings written by Ivan Arzhantsev and published by Cambridge University Press. This book was released on 2015 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.
Author : Alexander Degtyarev
Publisher : Springer Science & Business Media
ISBN 13 : 9783540410881
Total Pages : 284 pages
Book Rating : 4.4/5 (18 download)
Download or read book Real Enriques Surfaces written by Alexander Degtyarev and published by Springer Science & Business Media. This book was released on 2000-10-26 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deformation classes. p. 89.
Author : Masayoshi Miyanishi
Publisher : American Mathematical Soc.
ISBN 13 : 0821805045
Total Pages : 269 pages
Book Rating : 4.8/5 (218 download)
Download or read book Open Algebraic Surfaces written by Masayoshi Miyanishi and published by American Mathematical Soc.. This book was released on 2001 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Open algebraic surfaces are a synonym for algebraic surfaces that are not necessarily complete. An open algebraic surface is understood as a Zariski open set of a projective algebraic surface. There is a long history of research on projective algebraic surfaces, and there exists a beautiful Enriques-Kodaira classification of such surfaces. The research accumulated by Ramanujan, Abhyankar, Moh, and Nagata and others has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful methods to study the geometry and topology of open algebraic surfaces. The theory of open algebraic surfaces is applicable not only to algebraic geometry, but also to other fields, such as commutative algebra, invariant theory, and singularities. This book contains a comprehensive account of the theory of open algebraic surfaces, as well as several applications, in particular to the study of affine surfaces. Prerequisite to understanding the text is a basic background in algebraic geometry. This volume is a continuation of the work presented in the author's previous publication, Algebraic Geometry, Volume 136 in the AMS series, Translations of Mathematical Monographs.
Author : M. Miyanishi
Publisher : Springer
ISBN 13 : 3540386602
Total Pages : 262 pages
Book Rating : 4.5/5 (43 download)
Download or read book Non-complete Algebraic Surfaces written by M. Miyanishi and published by Springer. This book was released on 2006-11-15 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
