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Resolution Of Singularities Of Embedded Algebraic Surfaces Springer Monographs In Mathematics Softcover Reprint Of Hardcover 2nd Ed 1998 Shreeram S Abhyankar

  • SKU: BELL-51157930
Resolution Of Singularities Of Embedded Algebraic Surfaces Springer Monographs In Mathematics Softcover Reprint Of Hardcover 2nd Ed 1998 Shreeram S Abhyankar
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Resolution Of Singularities Of Embedded Algebraic Surfaces Springer Monographs In Mathematics Softcover Reprint Of Hardcover 2nd Ed 1998 Shreeram S Abhyankar instant download after payment.

Publisher: Springer
File Extension: DJVU
File size: 3.36 MB
Pages: 324
Author: Shreeram S. Abhyankar
ISBN: 9783642083518, 364208351X
Language: English
Year: 2010
Edition: Softcover reprint of hardcover 2nd ed. 1998

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Resolution Of Singularities Of Embedded Algebraic Surfaces Springer Monographs In Mathematics Softcover Reprint Of Hardcover 2nd Ed 1998 Shreeram S Abhyankar by Shreeram S. Abhyankar 9783642083518, 364208351X instant download after payment.

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.

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