Singular Points of Plane Curves
Author: C. T. C. Wall
Publisher: Cambridge University Press
Published: 2004-11-15
Total Pages: 386
ISBN-13: 9780521547741
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Author: C. T. C. Wall
Publisher: Cambridge University Press
Published: 2004-11-15
Total Pages: 386
ISBN-13: 9780521547741
DOWNLOAD EBOOKPublisher Description
Author:
Publisher:
Published: 2004
Total Pages: 370
ISBN-13: 9780511265372
DOWNLOAD EBOOKThe 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: Eduardo Casas-Alvero
Publisher: Cambridge University Press
Published: 2000-08-31
Total Pages: 363
ISBN-13: 0521789591
DOWNLOAD EBOOKComprehensive and self-contained exposition of singularities of plane curves, including new, previously unpublished results.
Author: Surendramohan Ganguli
Publisher:
Published: 1925
Total Pages: 422
ISBN-13:
DOWNLOAD EBOOKAuthor: C. T. C. Wall
Publisher: Cambridge University Press
Published: 2004-11-08
Total Pages: 384
ISBN-13: 9780521839044
DOWNLOAD EBOOKThis 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
Published: 2004-01-01
Total Pages: 554
ISBN-13: 9780486495767
DOWNLOAD EBOOKA 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:
Published: 2007
Total Pages: 13
ISBN-13:
DOWNLOAD EBOOKAuthor: Esther Eleanor Benedict
Publisher:
Published: 1949
Total Pages: 120
ISBN-13:
DOWNLOAD EBOOKAuthor: Eugene V. Shikin
Publisher: CRC Press
Published: 2014-07-22
Total Pages: 560
ISBN-13: 1498710670
DOWNLOAD EBOOKThe 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
Published: 2012-09-11
Total Pages: 506
ISBN-13: 1402020295
DOWNLOAD EBOOKThe 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}.