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Author : Pierre Samuel
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on Old and New Results on Algebraic Curves written by Pierre Samuel and published by . This book was released on 1966 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Enrico Arbarello
Publisher : Springer Science & Business Media
ISBN 13 : 3540693920
Total Pages : 983 pages
Book Rating : 4.5/5 (46 download)
Download or read book Geometry of Algebraic Curves written by Enrico Arbarello and published by Springer Science & Business Media. This book was released on 2011-03-10 with total page 983 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series.
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 : Carlos Moreno
Publisher : Cambridge University Press
ISBN 13 : 9780521459013
Total Pages : 264 pages
Book Rating : 4.4/5 (59 download)
Download or read book Algebraic Curves Over Finite Fields written by Carlos Moreno and published by Cambridge University Press. This book was released on 1993-10-14 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops the theory of algebraic curves over finite fields, their zeta and L-functions and the theory of algebraic geometric Goppa codes.
Author : William Fulton
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (1 download)
Download or read book Algebraic Curves written by William Fulton and published by . This book was released on 2008 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections.
Author : Brian Harbourne
Publisher : American Mathematical Soc.
ISBN 13 : 0821851241
Total Pages : 160 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry: Sundance 1988 written by Brian Harbourne and published by American Mathematical Soc.. This book was released on 1991 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the NSF-CBMS Regional Conference on Algebraic Geometry, held in Sundance, Utah in July 1988. The conference focused on algebraic curves and related varieties. Some of the papers collected here represent lectures delivered at the conference, some report on research done during the conference, while others describe related work carried out elsewhere.
Author : Robin Hartshorne
Publisher : American Mathematical Soc.
ISBN 13 : 082181429X
Total Pages : 658 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Geometry, Arcata 1974 written by Robin Hartshorne and published by American Mathematical Soc.. This book was released on 1975-12-31 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 1475738498
Total Pages : 511 pages
Book Rating : 4.4/5 (757 download)
Download or read book Algebraic Geometry written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.
Author : Michael D. Fried
Publisher : Springer Nature
ISBN 13 : 3031280202
Total Pages : 839 pages
Book Rating : 4.0/5 (312 download)
Download or read book Field Arithmetic written by Michael D. Fried and published by Springer Nature. This book was released on 2023-07-14 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses algebraic tools to study the elementary properties of classes of fields and related algorithmic problems. The first part covers foundational material on infinite Galois theory, profinite groups, algebraic function fields in one variable and plane curves. It provides complete and elementary proofs of the Chebotarev density theorem and the Riemann hypothesis for function fields, together with material on ultraproducts, decision procedures, the elementary theory of algebraically closed fields, undecidability and nonstandard model theory, including a nonstandard proof of Hilbert's irreducibility theorem. The focus then turns to the study of pseudo algebraically closed (PAC) fields, related structures and associated decidability and undecidability results. PAC fields (fields K with the property that every absolutely irreducible variety over K has a rational point) first arose in the elementary theory of finite fields and have deep connections with number theory. This fourth edition substantially extends, updates and clarifies the previous editions of this celebrated book, and includes a new chapter on Hilbertian subfields of Galois extensions. Almost every chapter concludes with a set of exercises and bibliographical notes. An appendix presents a selection of open research problems. Drawing from a wide literature at the interface of logic and arithmetic, this detailed and self-contained text can serve both as a textbook for graduate courses and as an invaluable reference for seasoned researchers.
Author : Brian Osserman
Publisher : American Mathematical Society
ISBN 13 : 1470466651
Total Pages : 259 pages
Book Rating : 4.4/5 (74 download)
Download or read book A Concise Introduction to Algebraic Varieties written by Brian Osserman and published by American Mathematical Society. This book was released on 2021-12-06 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shoshichi Kobayashi
Publisher : Springer Science & Business Media
ISBN 13 : 3662035820
Total Pages : 480 pages
Book Rating : 4.6/5 (62 download)
Download or read book Hyperbolic Complex Spaces written by Shoshichi Kobayashi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.
Author : Takushiro Ochiai
Publisher : Springer
ISBN 13 : 3319115235
Total Pages : 473 pages
Book Rating : 4.3/5 (191 download)
Download or read book Geometry and Analysis on Manifolds written by Takushiro Ochiai and published by Springer. This book was released on 2015-02-25 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of Shoshichi Kobayashi, and gathers contributions from distinguished researchers working on topics close to his research areas. The book is organized into three parts, with the first part presenting an overview of Professor Shoshichi Kobayashi’s career. This is followed by two expository course lectures (the second part) on recent topics in extremal Kähler metrics and value distribution theory, which will be helpful for graduate students in mathematics interested in new topics in complex geometry and complex analysis. Lastly, the third part of the volume collects authoritative research papers on differential geometry and complex analysis. Professor Shoshichi Kobayashi was a recognized international leader in the areas of differential and complex geometry. He contributed crucial ideas that are still considered fundamental in these fields. The book will be of interest to researchers in the fields of differential geometry, complex geometry, and several complex variables geometry, as well as to graduate students in mathematics.
Author : James B. Carrell
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860106
Total Pages : 516 pages
Book Rating : 4.8/5 (61 download)
Download or read book Proceedings of the 1984 Vancouver Conference in Algebraic Geometry written by James B. Carrell and published by American Mathematical Soc.. This book was released on 1986 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers a cross-section of the developments in modern algebraic geometry. This work covers topics including algebraic groups and representation theory, enumerative geometry, Schubert varieties, rationality, compactifications and surfaces.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
ISBN 13 : 1468493426
Total Pages : 306 pages
Book Rating : 4.4/5 (684 download)
Download or read book 13 Lectures on Fermat's Last Theorem written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture I The Early History of Fermat's Last Theorem.- 1 The Problem.- 2 Early Attempts.- 3 Kummer's Monumental Theorem.- 4 Regular Primes.- 5 Kummer's Work on Irregular Prime Exponents.- 6 Other Relevant Results.- 7 The Golden Medal and the Wolfskehl Prize.- Lecture II Recent Results.- 1 Stating the Results.- 2 Explanations.- Lecture III B.K. = Before Kummer.- 1 The Pythagorean Equation.- 2 The Biquadratic Equation.- 3 The Cubic Equation.- 4 The Quintic Equation.- 5 Fermat's Equation of Degree Seven.- Lecture IV The Naïve Approach.- 1 The Relations of Barlow and Abel.- 2 Sophie Germain.- 3 Co.
Author : Ulrich Görtz
Publisher : Springer Nature
ISBN 13 : 3658430311
Total Pages : 877 pages
Book Rating : 4.6/5 (584 download)
Download or read book Algebraic Geometry II: Cohomology of Schemes written by Ulrich Görtz and published by Springer Nature. This book was released on 2023-11-22 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes. It begins by discussing in detail the notions of smooth, unramified and étale morphisms including the étale fundamental group. The main part is dedicated to the cohomology of quasi-coherent sheaves. The treatment is based on the formalism of derived categories which allows an efficient and conceptual treatment of the theory, which is of crucial importance in all areas of algebraic geometry. After the foundations are set up, several more advanced topics are studied, such as numerical intersection theory, an abstract version of the Theorem of Grothendieck-Riemann-Roch, the Theorem on Formal Functions, Grothendieck's algebraization results and a very general version of Grothendieck duality. The book concludes with chapters on curves and on abelian schemes, which serve to develop the basics of the theory of these two important classes of schemes on an advanced level, and at the same time to illustrate the power of the techniques introduced previously. The text contains many exercises that allow the reader to check their comprehension of the text, present further examples or give an outlook on further results.
Author : Masayoshi Miyanishi
Publisher : World Scientific
ISBN 13 : 9811215227
Total Pages : 456 pages
Book Rating : 4.8/5 (112 download)
Download or read book Algebraic Surfaces In Positive Characteristics: Purely Inseparable Phenomena In Curves And Surfaces written by Masayoshi Miyanishi and published by World Scientific. This book was released on 2020-06-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Customarily, the framework of algebraic geometry has been worked over an algebraically closed field of characteristic zero, say, over the complex number field. However, over a field of positive characteristics, many unpredictable phenomena arise where analyses will lead to further developments.In the present book, we consider first the forms of the affine line or the additive group, classification of such forms and detailed analysis. The forms of the affine line considered over the function field of an algebraic curve define the algebraic surfaces with fibrations by curves with moving singularities. These fibrations are investigated via the Mordell-Weil groups, which are originally introduced for elliptic fibrations.This is the first book which explains the phenomena arising from purely inseparable coverings and Artin-Schreier coverings. In most cases, the base surfaces are rational, hence the covering surfaces are unirational. There exists a vast, unexplored world of unirational surfaces. In this book, we explain the Frobenius sandwiches as examples of unirational surfaces.Rational double points in positive characteristics are treated in detail with concrete computations. These kinds of computations are not found in current literature. Readers, by following the computations line after line, will not only understand the peculiar phenomena in positive characteristics, but also understand what are crucial in computations. This type of experience will lead the readers to find the unsolved problems by themselves.
Author : Mats Gyllenberg
Publisher : CRC Press
ISBN 13 : 9780824792176
Total Pages : 430 pages
Book Rating : 4.7/5 (921 download)
Download or read book Analysis written by Mats Gyllenberg and published by CRC Press. This book was released on 1994-04-19 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presenting the proceedings of the twenty-first Nordic Congress of Mathematicians at Lulearing; University of Technology, Sweden, this outstanding reference discusses recent advances in analysis, algebra, stochastic processes, and the use of computers in mathematical research."
