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Author : Anna Lavinia Van Benschoten
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.E/5 ( download)
Download or read book The Birational Transformations of Algebraic Curves of Genus Four written by Anna Lavinia Van Benschoten and published by . This book was released on 1909 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Vance McKelvey
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Groups of Birational Transformations of Algebraic Curves of Genus 5 ... written by Joseph Vance McKelvey and published by . This book was released on 1912 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 :
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.A/5 ( download)
Download or read book American Journal of Mathematics written by and published by . This book was released on 1918 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Journal of Mathematics publishes research papers and articles of broad appeal covering the major areas of contemporary mathematics.
Author : J. W. P. Hirschfeld
Publisher : Princeton University Press
ISBN 13 : 1400847419
Total Pages : 717 pages
Book Rating : 4.4/5 (8 download)
Download or read book Algebraic Curves over a Finite Field written by J. W. P. Hirschfeld and published by Princeton University Press. This book was released on 2013-03-25 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible and self-contained introduction to the theory of algebraic curves over a finite field, a subject that has been of fundamental importance to mathematics for many years and that has essential applications in areas such as finite geometry, number theory, error-correcting codes, and cryptology. Unlike other books, this one emphasizes the algebraic geometry rather than the function field approach to algebraic curves. The authors begin by developing the general theory of curves over any field, highlighting peculiarities occurring for positive characteristic and requiring of the reader only basic knowledge of algebra and geometry. The special properties that a curve over a finite field can have are then discussed. The geometrical theory of linear series is used to find estimates for the number of rational points on a curve, following the theory of Stöhr and Voloch. The approach of Hasse and Weil via zeta functions is explained, and then attention turns to more advanced results: a state-of-the-art introduction to maximal curves over finite fields is provided; a comprehensive account is given of the automorphism group of a curve; and some applications to coding theory and finite geometry are described. The book includes many examples and exercises. It is an indispensable resource for researchers and the ideal textbook for graduate students.
Author : Anna Helen Tappan
Publisher :
ISBN 13 :
Total Pages : 34 pages
Book Rating : 4.3/5 (91 download)
Download or read book Plane Sextic Curves Invariant Under Birational Transformations written by Anna Helen Tappan and published by . This book was released on 1915 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Enrico Arbarello
Publisher : Springer
ISBN 13 : 9781475753240
Total Pages : 387 pages
Book Rating : 4.7/5 (532 download)
Download or read book Geometry of Algebraic Curves written by Enrico Arbarello and published by Springer. This book was released on 2013-08-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves).
Author :
Publisher :
ISBN 13 :
Total Pages : 820 pages
Book Rating : 4.F/5 ( download)
Download or read book Bulletin of the American Mathematical Society written by and published by . This book was released on 1908 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 532 pages
Book Rating : 4.0/5 ( download)
Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1899 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Kiyek
Publisher : Springer Science & Business Media
ISBN 13 : 1402020295
Total Pages : 506 pages
Book Rating : 4.4/5 (2 download)
Download or read book Resolution of Curve and Surface Singularities in Characteristic Zero written by K. Kiyek and published by Springer Science & Business Media. This book was released on 2012-09-11 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf. [148], [149]]. And probably the origin of the problem was to have a formula to compute the genus of a plane curve. The genus is the most useful birational invariant of a curve in classical projective geometry. It was long known that, for a plane curve of degree n having l m ordinary singular points with respective multiplicities ri, i E {1, . . . , m}, the genus p of the curve is given by the formula = (n - l)(n - 2) _ ~ "r. (r. _ 1) P 2 2 L. . ,. •• . Of course, the problem now arises: how to compute the genus of a plane curve having some non-ordinary singularities. This leads to the natural question: can we birationally transform any (singular) plane curve into another one having only ordinary singularities? The answer is positive. Let us give a flavor (without proofs) 2 on how Noether did it • To solve the problem, it is enough to consider a special kind of Cremona trans formations, namely quadratic transformations of the projective plane. Let ~ be a linear system of conics with three non-collinear base points r = {Ao, AI, A }, 2 and take a projective frame of the type {Ao, AI, A ; U}.
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 :
Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.3/5 (243 download)
Download or read book International Catalogue of Scientific Literature, 1901-1914 written by and published by . This book was released on 1912 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.3/5 (91 download)
Download or read book Catalog of the Library written by American Mathematical Society and published by . This book was released on 1925 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.3/5 (21 download)
Download or read book Catalogue of the Library written by American Mathematical Society and published by . This book was released on 1925 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 2040 pages
Book Rating : 4.:/5 (321 download)
Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1907 with total page 2040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Michels (Journalist)
Publisher :
ISBN 13 :
Total Pages : 962 pages
Book Rating : 4.:/5 ( download)
Download or read book Science written by John Michels (Journalist) and published by . This book was released on 1908 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1911-13 contain the Proceedings of the Helminothological Society of Washington, ISSN 0018-0120, 1st-15th meeting.
Author : Joseph Vital De Porte
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.3/5 (91 download)
Download or read book Irrational Involutions on Algebraic Curves written by Joseph Vital De Porte and published by . This book was released on 1916 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
