Random Curves, Neal Koblitz

Автор: Haruzo Hida
Название: Elliptic Curves and Arithmetic Invariants
ISBN: 1461466563 ISBN-13(EAN): 9781461466567
Издательство: Springer
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Цена: 130430.00 T
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Описание: This introduction to Shimura varieties covers key topics including non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; elliptic and modular curves over rings and more.

Автор: John Cremona; Joan-Carles Lario; Jordi Quer; Kenne
Название: Modular Curves and Abelian Varieties
ISBN: 3034896212 ISBN-13(EAN): 9783034896214
Издательство: Springer
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Цена: 93160.00 T
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Описание: It would be difficult to overestimate the influence and importance of modular forms, modular curves, and modular abelian varieties in the development of num- ber theory and arithmetic geometry during the last fifty years. These subjects lie at the heart of many past achievements and future challenges. For example, the theory of complex multiplication, the classification of rational torsion on el- liptic curves, the proof of Fermat's Last Theorem, and many results towards the Birch and Swinnerton-Dyer conjecture all make crucial use of modular forms and modular curves. A conference was held from July 15 to 18, 2002, at the Centre de Recerca Matematica (Bellaterra, Barcelona) under the title "Modular Curves and Abelian Varieties". Our conference presented some of the latest achievements in the theory to a diverse audience that included both specialists and young researchers. We emphasized especially the conjectural generalization of the Shimura-Taniyama conjecture to elliptic curves over number fields other than the field of rational numbers (elliptic Q-curves) and abelian varieties of dimension larger than one (abelian varieties of GL2-type).

Автор: Shrawan Kumar; M.S. Narasimhan; G?rard Laumon; Ulr
Название: Vector Bundles on Curves - New Directions
ISBN: 3540624015 ISBN-13(EAN): 9783540624011
Издательство: Springer
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Цена: 27910.00 T
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Описание: The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. Drinfeld Shtukas (Lectures by G. Drinfeld modules and Elliptic Sheaves (Lectures by U.

Автор: Robert S. Rumely
Название: Capacity Theory on Algebraic Curves
ISBN: 3540514104 ISBN-13(EAN): 9783540514107
Издательство: Springer
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Цена: 46540.00 T
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Описание: Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory. This book lays foundations for a theory of capacity for adelic sets on algebraic curves. It brings out a connection between the classical Green`s functions of analysis and Neron`s local height pairings.

Автор: Ernst-Ulrich Gekeler
Название: Drinfeld Modular Curves
ISBN: 3540172017 ISBN-13(EAN): 9783540172017
Издательство: Springer
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Цена: 23250.00 T
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Автор: Jean-Daniel Boissonnat; Albert Cohen; Olivier Giba
Название: Curves and Surfaces
ISBN: 331922803X ISBN-13(EAN): 9783319228037
Издательство: Springer
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Цена: 67080.00 T
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Описание: Preface.- Finite Element Approximation with Hierarchical B-Splines.- Non-linear Local Polynomial Regression Multiresolution Methods using ℓ1-norm Minimization with Application to Signal Processing.- A New Class of Interpolatory L-splines with Adjoint End Conditions.- On a New Conformal Functional for Simplicial Surfaces.- Evaluation of Smooth Spline Blending Surfaces using GPU.- Implicit Equations of Non-degenerate Rational Bezier Quadric Triangles.- Support Vector Machines for Classification of Geometric Primitives in Point Clouds.- Computing Topology Preservation of RBF Transformations for Landmark-Based Image Registration.- New Bounds on the Lebesgue Constants of Leja Sequences on the Unit Disc and on ℜ-Leja Sequences.- A Curvature Smooth Lofting Scheme for Singular Point Treatments.- A Consistent Statistical Framework for Current-Based Representations of Surfaces.- Isotropic M]obius geometry and i-M circles on singular isotropic Cyclides.- Symbolic Computation of Equi-affine Evolute for Plane B-spline Curves.- On-line CAD Reconstruction with Accumulated Means of Local Geometric Properties.- Analysis of Intrinsic Mode Functions Based on Curvature Motion-like PDEs.- Differential Geometry Revisited by Biquaternion Clifford Algebra.- Ridgelet Methods for Linear Transport Equations.- Basis Functions for Scattered Data Quasi-interpolation.- Optimality of a Gradient Bound for Polyhedral Wachspress Coordinates.- Mass Smoothers in Geometric Multigrid for Isogeometric Analysis.- On the Set of Trajectories of the Control Systems with Limited Control Resources.- High Order Reconstruction from Cross-sections.- Adaptive Atlas of Connectivity Maps.- Matrix Generation in Isogeometric Analysis by Low Rank Tensor Approximation.- Combination of Piecewise-geodesic Curves for Interactive Image Segmentation.- A Fully-nested Interpolatory Quadrature Based on Fej er's Second Rule.- CINPACT-splines: A Class of C1 Curves with Compact Support.- Error Estimates for Approximate Operator Inversion via Kernel-based Methods.- Boundary Controlled Iterated Function Systems.- Construction of Smooth Isogeometric Function Spaces on Singularly Parameterized Domains.- Reflexive Symmetry Detection in Single Image.

Автор: Joseph H. Silverman; John T. Tate
Название: Rational Points on Elliptic Curves
ISBN: 3319307576 ISBN-13(EAN): 9783319307572
Издательство: Springer
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Цена: 41920.00 T
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Описание: Introduction.- Geometry and Arithmetic.- Points of Finite Order.- The Group of Rational Points.- Cubic Curves over Finite Fields.- Integer Points on Cubic Curves.- Complex Multiplication.

Автор: Haruzo Hida
Название: Elliptic Curves and Arithmetic Invariants
ISBN: 1489990925 ISBN-13(EAN): 9781489990921
Издательство: Springer
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Цена: 88500.00 T
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Описание: This introduction to Shimura varieties covers key topics including non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; elliptic and modular curves over rings and more.

Автор: Abel Gomes; Irina Voiculescu; Joaquim Jorge; Brian
Название: Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
ISBN: 1447158776 ISBN-13(EAN): 9781447158776
Издательство: Springer
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Цена: 65170.00 T
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Описание: In presenting the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, the authors show how implicit objects can easily describe smooth, intricate, and shapes that articulate.

Автор: Christian Wei?
Название: Twisted Teichm?ller Curves
ISBN: 331904074X ISBN-13(EAN): 9783319040745
Издательство: Springer
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Цена: 32600.00 T
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Описание: These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmuller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. The study of algebraic curves on Hilbert modular surfaces has been widely covered in the literature due to their arithmetic importance.

Автор: David Loeffler; Sarah Livia Zerbes
Название: Elliptic Curves, Modular Forms and Iwasawa Theory
ISBN: 331945031X ISBN-13(EAN): 9783319450315
Издательство: Springer
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Цена: 111790.00 T
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Описание: Celebrating one of the leading figures in contemporary number theory - John H. Coates - on the occasion of his 70th birthday, this collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois representations.

Автор: Cavalieri
Название: Riemann Surfaces and Algebraic Curves
ISBN: 110714924X ISBN-13(EAN): 9781107149243
Издательство: Cambridge Academ
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Цена: 120390.00 T
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Описание: Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field in algebraic geometry. Designed for undergraduate study, this classroom-tested text demonstrates the connections between diverse areas of mathematics and features short essays by guest writers as well as over 100 exercises for the reader.