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Algebraic Geometry and Arithmetic Curves - Qing Liu - Bok
This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text. ISBN 978-7-5100-4413-7. This book provides a general introduction to the theory of schemes, followedby applications to arithmetic surfaces and to the theory of reductionof algebraic curves.
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Buy Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics) (Oxford Graduate Texts in Mathematics, 6) on Amazon.com FREE SHIPPING on qualified orders Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics) (Oxford Graduate Texts in Mathematics, 6): Liu, Qing: 9780199202492: Amazon.com: Books Algebraic Geometry and Arithmetic Curves. @inproceedings {Liu2002AlgebraicGA, title= {Algebraic Geometry and Arithmetic Curves}, author= {Q. Liu}, year= {2002} } Q. Liu. Published 2002. Mathematics. Introduction 1. Some topics in commutative algebra 2. General Properties of schemes 3.
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epsilon-Pisot numbers in any real algebraic number field are relatively dense Anders Holst & Anders Melin, 2004, New Analytic and Geometric Methods in Inverse Surface Reconstruction from the Projection of Points, Curves and Contours. Algebra, 7,5 högskolepoäng. Efter avslutad Analyse in a scientific manner the teaching of mathematics through mathematical problem-solving.
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@inproceedings {Liu2002AlgebraicGA, title= {Algebraic Geometry and Arithmetic Curves}, author= {Q. Liu}, year= {2002} } Q. Liu. Published 2002. Mathematics.
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Core faculty · Jason Starr · Curves on varieties; stacks; Fano manifolds; arithmetic and geometry of varieties over function fields
Algebra > Algebraic Geometry > Abstract Algebraic Curves > Algebraic geometry is the study of geometries that come from algebra, in particular, from rings. In classical algebraic geometry, the algebra is the ring of polynomia
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arithmetic nature of certain objects (old and new). Actually the intermediate step, namely from analytic to algebraic geometry, will turn out to be a source of
Algebraic Geometry and Arithmetic Curves (Oxford Graduate Texts in Mathematics, 6) This content was uploaded by our users and we assume good faith they
Feb 11, 2015 Tropical geometry gives a new approach to understanding old questions about algebraic curves and their moduli spaces, synthesizing
Nonsingular curves Non singular points of curves and discrete valuation rings.
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Read honest and unbiased product reviews from our users. 2020-04-28 Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places.
Algebraic geometry and arithmetic curves [electronic resource] / Arithmetical algebraic geometry. Curves, Algebraic.
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The student must become familiar with important but difficult results, many of which are only expounded upon in the primary literature. Introduction 1. Some topics in commutative algebra 2. General Properties of schemes 3.
Ruud Pellikaan - Google Scholar
Morphisms and base change 4. Some local properties 5. Coherent sheaves and Cech cohmology 6. Sheaves of differentials 7. Divisors and applications to curves 8. Birational geometry of surfaces 9. Regular surfaces 10.
Morphisms and base change 4. Pris: 609 kr. E-bok, 2006.