Singular Points Of Plane Curves
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Author | : C. T. C. Wall |
Publisher | : Cambridge University Press |
Total Pages | : 386 |
Release | : 2004-11-15 |
Genre | : Mathematics |
ISBN | : 9780521547741 |
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Publisher Description
Author | : Eduardo Casas-Alvero |
Publisher | : Cambridge University Press |
Total Pages | : 363 |
Release | : 2000-08-31 |
Genre | : Mathematics |
ISBN | : 0521789591 |
Download Singularities of Plane Curves Book in PDF, Epub and Kindle
Comprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.
Author | : |
Publisher | : |
Total Pages | : 370 |
Release | : 2004 |
Genre | : Curves, Plane |
ISBN | : 9780511265372 |
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The study of singularities uses techniques from algebra, algebraic geometry, complex analysis and topology. This book introduces graduate students to this attractive area of mathematics. It is based on a MSc course taught by the author and also is an original synthesis, with new views and results not found elsewhere.
Author | : Surendramohan Ganguli |
Publisher | : |
Total Pages | : 422 |
Release | : 1925 |
Genre | : Curves, Algebraic |
ISBN | : |
Download The Theory of Plane Curves Book in PDF, Epub and Kindle
Author | : C. T. C. Wall |
Publisher | : Cambridge University Press |
Total Pages | : 384 |
Release | : 2004-11-08 |
Genre | : Mathematics |
ISBN | : 9780521839044 |
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This book has arisen from the author's successful course at Liverpool University. The text covers all the essentials in a style that is detailed and expertly written by one of the foremost researchers and teachers working in the field. Ideal for either course use or independent study, the volume guides students through the key concepts that will enable them to move on to more detailed study or research within the field.
Author | : Julian Lowell Coolidge |
Publisher | : Courier Corporation |
Total Pages | : 554 |
Release | : 2004-01-01 |
Genre | : Mathematics |
ISBN | : 9780486495767 |
Download A Treatise on Algebraic Plane Curves Book in PDF, Epub and Kindle
A thorough introduction to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. Almost entirely confined to the properties of the general curve, and chiefly employs algebraic procedure. Geometric methods are much employed, however, especially those involving the projective geometry of hyperspace. 1931 edition. 17 illustrations.
Author | : Dmitry Kerner |
Publisher | : |
Total Pages | : 13 |
Release | : 2007 |
Genre | : |
ISBN | : |
Download On the Collisions of Singular Points of Plane Curves Book in PDF, Epub and Kindle
Author | : Esther Eleanor Benedict |
Publisher | : |
Total Pages | : 120 |
Release | : 1949 |
Genre | : Curves, Plane |
ISBN | : |
Download Singular Points of Higher Plane Curves Book in PDF, Epub and Kindle
Author | : Eugene V. Shikin |
Publisher | : CRC Press |
Total Pages | : 560 |
Release | : 2014-07-22 |
Genre | : Mathematics |
ISBN | : 1498710670 |
Download Handbook and Atlas of Curves Book in PDF, Epub and Kindle
The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are discussed.
Author | : K. Kiyek |
Publisher | : Springer Science & Business Media |
Total Pages | : 506 |
Release | : 2012-09-11 |
Genre | : Mathematics |
ISBN | : 1402020295 |
Download Resolution of Curve and Surface Singularities in Characteristic Zero Book in PDF, Epub and Kindle
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}.