Resolution of Singularities of Embedded Algebraic Surfaces - Springer Monographs in Mathematics - Shreeram S. Abhyankar - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783642083518 - 2010. gada 4. decembris
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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

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 2010. gada 4. decembris
ISBN13 9783642083518
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 312
Izmēri 155 × 235 × 17 mm   ·   453 g
Valoda Angļu  

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