Interpolation for Normal Bundles of General Curves

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Publisher : American Mathematical Soc.
ISBN 13 : 147043489X
Total Pages : 118 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Interpolation for Normal Bundles of General Curves by : Atanas Atanasov

Download or read book Interpolation for Normal Bundles of General Curves written by Atanas Atanasov and published by American Mathematical Soc.. This book was released on 2019-02-21 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given n general points p1,p2,…,pn∈Pr, it is natural to ask when there exists a curve C⊂Pr, of degree d and genus g, passing through p1,p2,…,pn. In this paper, the authors give a complete answer to this question for curves C with nonspecial hyperplane section. This result is a consequence of our main theorem, which states that the normal bundle NC of a general nonspecial curve of degree d and genus g in Pr (with d≥g+r) has the property of interpolation (i.e. that for a general effective divisor D of any degree on C, either H0(NC(−D))=0 or H1(NC(−D))=0), with exactly three exceptions.

Birational Geometry, Rational Curves, and Arithmetic

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Publisher : Springer Science & Business Media
ISBN 13 : 146146482X
Total Pages : 324 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Birational Geometry, Rational Curves, and Arithmetic by : Fedor Bogomolov

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.

Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821872923
Total Pages : 144 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations by : Igor Burban

Download or read book Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations written by Igor Burban and published by American Mathematical Soc.. This book was released on 2012 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: "November 2012, volume 220, number 1035 (third of 4 numbers)."

Interpolation Theory, Systems Theory and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034882157
Total Pages : 420 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Interpolation Theory, Systems Theory and Related Topics by : Daniel Alpay

Download or read book Interpolation Theory, Systems Theory and Related Topics written by Daniel Alpay and published by Birkhäuser. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Harry Dym, a leading expert in operator theory, on the occasion of his sixtieth birthday. The book opens with an autobiographical sketch, a list of publications and a personal account of I. Gohberg on his collaboration with Harry Dym. The mathematical papers cover Krein space operator theory, Schur analysis and interpolation, several complex variables and Riemann surfaces, matrix theory, system theory, and differential equations and mathematical physics. The book is of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Curves in Projective Space

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Publisher : Montréal : Presses de l'Université de Montréal
ISBN 13 : 9782760606036
Total Pages : 138 pages
Book Rating : 4.6/5 (6 download)

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Book Synopsis Curves in Projective Space by : Joe Harris

Download or read book Curves in Projective Space written by Joe Harris and published by Montréal : Presses de l'Université de Montréal. This book was released on 1982-01-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quadratic Vector Equations on Complex Upper Half-Plane

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Publisher : American Mathematical Soc.
ISBN 13 : 1470436833
Total Pages : 146 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Quadratic Vector Equations on Complex Upper Half-Plane by : Oskari Ajanki

Download or read book Quadratic Vector Equations on Complex Upper Half-Plane written by Oskari Ajanki and published by American Mathematical Soc.. This book was released on 2019-12-02 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider the nonlinear equation −1m=z+Sm with a parameter z in the complex upper half plane H, where S is a positivity preserving symmetric linear operator acting on bounded functions. The solution with values in H is unique and its z-dependence is conveniently described as the Stieltjes transforms of a family of measures v on R. In a previous paper the authors qualitatively identified the possible singular behaviors of v: under suitable conditions on S we showed that in the density of v only algebraic singularities of degree two or three may occur. In this paper the authors give a comprehensive analysis of these singularities with uniform quantitative controls. They also find a universal shape describing the transition regime between the square root and cubic root singularities. Finally, motivated by random matrix applications in the authors' companion paper they present a complete stability analysis of the equation for any z∈H, including the vicinity of the singularities.

Ulrich Bundles

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110647680
Total Pages : 282 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Ulrich Bundles by : Laura Costa

Download or read book Ulrich Bundles written by Laura Costa and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-05-10 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to cover the active developments of arithmetically Cohen-Macaulay and Ulrich bundles and related topics in the last 30 years, and to present relevant techniques and multiple applications of the theory of Ulrich bundles to a wide range of problems in algebraic geometry as well as in commutative algebra.

Singular Algebraic Curves

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Publisher : Springer
ISBN 13 : 3030033503
Total Pages : 569 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Singular Algebraic Curves by : Gert-Martin Greuel

Download or read book Singular Algebraic Curves written by Gert-Martin Greuel and published by Springer. This book was released on 2018-12-30 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area.

Moduli Spaces and Vector Bundles—New Trends

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Publisher : American Mathematical Society
ISBN 13 : 1470472961
Total Pages : 382 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Moduli Spaces and Vector Bundles—New Trends by : Peter Gothen

Download or read book Moduli Spaces and Vector Bundles—New Trends written by Peter Gothen and published by American Mathematical Society. This book was released on 2024-07-18 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles—New Trends, held in honor of Peter Newstead's 80th birthday, from July 25–29, 2022, at the University of Warwick, Coventry, United Kingdom. The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.

Space Curves

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Publisher : Springer
ISBN 13 : 354047708X
Total Pages : 278 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Space Curves by : Franco Ghione

Download or read book Space Curves written by Franco Ghione and published by Springer. This book was released on 2006-11-15 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics of the conference on "Curves in Projective Space" were good and bad families of projective curves, postulation of projective space curves and classical problems in enumerative geometry.

Integrable Systems and Quantum Groups

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Publisher : Springer
ISBN 13 : 3540477063
Total Pages : 496 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Integrable Systems and Quantum Groups by : Ron Donagi

Download or read book Integrable Systems and Quantum Groups written by Ron Donagi and published by Springer. This book was released on 2006-11-14 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. The papers contained in this volume have at the same time the character of survey articles and of research papers, since they contain both a survey of current problems and a number of original contributions to the subject.

Elliptic Curves and Big Galois Representations

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Publisher : Cambridge University Press
ISBN 13 : 0521728665
Total Pages : 283 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Elliptic Curves and Big Galois Representations by : Daniel Delbourgo

Download or read book Elliptic Curves and Big Galois Representations written by Daniel Delbourgo and published by Cambridge University Press. This book was released on 2008-07-31 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes the arithmetic of modular forms and elliptic curves; self-contained and ideal for both graduate students and professional number theorists.

The Convenient Setting of Global Analysis

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Publisher : American Mathematical Society
ISBN 13 : 1470478935
Total Pages : 631 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Convenient Setting of Global Analysis by : Andreas Kriegl

Download or read book The Convenient Setting of Global Analysis written by Andreas Kriegl and published by American Mathematical Society. This book was released on 2024-08-15 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Fr‚chet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, the relation between tangent vectors and derivations, and differential forms are discussed thoroughly. Special emphasis is given to the notion of regular infinite dimensional Lie groups. Many applications of this theory are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.

Topics in Operator Theory and Interpolation

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Publisher : Birkhäuser
ISBN 13 : 3034891628
Total Pages : 240 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Topics in Operator Theory and Interpolation by : I. Gohberg

Download or read book Topics in Operator Theory and Interpolation written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Three-dimensional Triangulation with Satellites

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Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Three-dimensional Triangulation with Satellites by : Hellmut H. Schmid

Download or read book Three-dimensional Triangulation with Satellites written by Hellmut H. Schmid and published by . This book was released on 1974 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NOAA Professional Paper

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Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis NOAA Professional Paper by :

Download or read book NOAA Professional Paper written by and published by . This book was released on 1974 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ESSA Professional Paper

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Publisher :
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis ESSA Professional Paper by : United States. National Oceanic and Atmospheric Administration

Download or read book ESSA Professional Paper written by United States. National Oceanic and Atmospheric Administration and published by . This book was released on 1972 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: