Resolution of Singularities of Embedded Algebraic Surfaces - Springer Monographs in Mathematics - Shreeram S. Abhyankar - Libros - Springer-Verlag Berlin and Heidelberg Gm - 9783642083518 - 4 de diciembre de 2010
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Shreeram S. Abhyankar
Resolution of Singularities of Embedded Algebraic Surfaces - Springer Monographs in Mathematics Softcover Reprint of Hardcover 2nd Ed. 1998 edition

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The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety. The degrees of freedom of a moving point on the variety is the dimension of the variety. A one-dimensional variety is a curve and a two-dimensional variety is a surface. A three-dimensional variety may be called asolid. Most points of a variety are simple points. Singularities are special points, or points of multiplicity greater than one. Points of multiplicity two are double points, points of multiplicity three are tripie points, and so on. A nodal point of a curve is a double point where the curve crosses itself, such as the alpha curve. A cusp is a double point where the curve has a beak. The vertex of a cone provides an example of a surface singularity. A reversible change of variables gives abirational transformation of a variety. Singularities of a variety may be resolved by birational transformations.

312 pages, biography

Medios de comunicación Libros     Paperback Book   (Libro con tapa blanda y lomo encolado)
Publicado 4 de diciembre de 2010
ISBN13 9783642083518
Editores Springer-Verlag Berlin and Heidelberg Gm
Páginas 312
Dimensiones 155 × 235 × 17 mm   ·   453 g
Lengua Inglés  

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