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Author : Harold F. Mattson
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (314 download)
Download or read book A Generalization of the Riemann-Roch Theorem written by Harold F. Mattson and published by . This book was released on 1955 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerd Faltings
Publisher : Princeton University Press
ISBN 13 : 0691025444
Total Pages : 112 pages
Book Rating : 4.6/5 (91 download)
Download or read book Lectures on the Arithmetic Riemann-Roch Theorem written by Gerd Faltings and published by Princeton University Press. This book was released on 1992-03-10 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Author : Gerd Faltings
Publisher :
ISBN 13 : 9780691087719
Total Pages : 100 pages
Book Rating : 4.0/5 (877 download)
Download or read book Lectures on the Arithmetic Riemann-Roch Theorem written by Gerd Faltings and published by . This book was released on 1992 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Author : Philip Wagreich
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (315 download)
Download or read book A Generalization of the Riemann-Roch-Hirzebruch-Grothendieck Theorem written by Philip Wagreich and published by . This book was released on 1967 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rick Miranda
Publisher : American Mathematical Soc.
ISBN 13 : 0821802682
Total Pages : 414 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Curves and Riemann Surfaces written by Rick Miranda and published by American Mathematical Soc.. This book was released on 1995 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage. But the main examples come fromprojective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Dualtiy Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves andcohomology are introduced as a unifying device in the later chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one term of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-term course in complex variables or a year-long course in algebraic geometry.
Author : Y. Rodin
Publisher : Springer Science & Business Media
ISBN 13 : 9400928858
Total Pages : 212 pages
Book Rating : 4.4/5 (9 download)
Download or read book The Riemann Boundary Problem on Riemann Surfaces written by Y. Rodin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Wayne Aitken
Publisher : American Mathematical Soc.
ISBN 13 : 0821804073
Total Pages : 189 pages
Book Rating : 4.8/5 (218 download)
Download or read book An Arithmetic Riemann-Roch Theorem for Singular Arithmetic Surfaces written by Wayne Aitken and published by American Mathematical Soc.. This book was released on 1996 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following gives a development of Arakelov theory general enough to handle not only regular arithmetic surfaces but also a large class of arithmetic surfaces whose generic fiber has singularities. This development culminates in an arithmetic Riemann-Roch theorem for such arithmetic surfaces. The first part of the memoir gives a treatment of Deligne's functorial intersection theory, and the second develops a class of intersection functions for singular curves which behaves analogously to the canonical Green's functions introduced by Arakelov for smooth curves.
Author : Alberto Navarro Garmendia
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (12 download)
Download or read book The Riemann-Roch Theorem and Gysin Morphism in Arithmetic Geometry written by Alberto Navarro Garmendia and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The original Grothendieck's Riemann-Roch theorem states that for any proper morphism f : Y ! X, between nonsingular quasiprojective irreducible varieties over a eld, and any element a 2 K0(Y ) of the Grothendieck group of vector bundles the relation ch(f!(a)) = f {u100000}Td(Tf ) ch(a) holds (cf. [BS58]). Recall that ch denotes the Chern character, Td(Tf ) the Todd class of the relative tangent bundle and f and f! the direct image in the Chow ring and K0 respectively. Later Baum, Fulton and MacPherson proved in [BFM75] the Riemann-Roch theorem for locally complete intersection morphisms between singular projective algebraic schemes (i.e., locally of nite type separated schemes over a eld). In [FG83] Fulton and Gillet proved the theorem without projective assumptions on the schemes. The remarkable extension to higher K-theory and schemes over a regular base was proved by Gillet in [Gil81]. The Riemann-Roch theorem proved there is for projective morphisms between smooth quasiprojective schemes. However, note that in the case over a eld Gillet's theorem does not recover the result of [BFM75]. The furthest generalization of the Riemann-Roch theorem I know is [D eg14] and [HS15] where D eglise and Holmstrom-Scholbach independently obtained the Riemann-Roch theorem for higher K-theory and projective lci morphisms between regular schemes over a nite dimensional noetherian base...
Author : Gerd Faltings
Publisher : Princeton University Press
ISBN 13 : 1400882478
Total Pages : 118 pages
Book Rating : 4.4/5 (8 download)
Download or read book Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 written by Gerd Faltings and published by Princeton University Press. This book was released on 2016-03-02 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Author : Ruth Ingrid Michler
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (33 download)
Download or read book The Riemann- Roch Theorem written by Ruth Ingrid Michler and published by . This book was released on 1990 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Friedrich Hirzebruch
Publisher : Springer
ISBN 13 : 3662306972
Total Pages : 241 pages
Book Rating : 4.6/5 (623 download)
Download or read book Topological Methods in Algebraic Geometry written by Friedrich Hirzebruch and published by Springer. This book was released on 2013-11-11 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Academic Press
ISBN 13 : 0080873359
Total Pages : 341 pages
Book Rating : 4.0/5 (88 download)
Download or read book Introduction to the Theory of Algebraic Numbers and Fuctions written by and published by Academic Press. This book was released on 1966-01-01 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Theory of Algebraic Numbers and Fuctions
Author : Robert D.M. Accola
Publisher : Springer
ISBN 13 : 3540490566
Total Pages : 117 pages
Book Rating : 4.5/5 (44 download)
Download or read book Topics in the Theory of Riemann Surfaces written by Robert D.M. Accola and published by Springer. This book was released on 2006-11-14 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. The extremely useful inequality of Castelnuovo- Severi is also treated. While the methods are elementary, much of the material does not appear in the current texts on Riemann surfaces, algebraic curves. The book is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves.
Author : Masana Harada
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (819 download)
Download or read book A Proof of the Riemann-Roch Theorem written by Masana Harada and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paulo Ribenboim
Publisher : Kingston, Ont. : Queen's University
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.X/5 (1 download)
Download or read book The Riemann-Roch Theorem for Algebraic Curves written by Paulo Ribenboim and published by Kingston, Ont. : Queen's University. This book was released on 1965 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anselm Soyring
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (177 download)
Download or read book Riemann-Roch Theorem written by Anselm Soyring and published by . This book was released on 1982 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Demetre
Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (268 download)
Download or read book The Riemann-Roch Theorem written by Andrew Demetre and published by . This book was released on 1988 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
