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Resolution of Singularities of Embedded Algebraic Surfaces
Shreeram S. Abhyankar
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Description for Resolution of Singularities of Embedded Algebraic Surfaces
Hardback. Besides the description of the geometric part of the author's 1965 proof of desingularization of algebraic surfaces and solids in nonzero characteristic, this edition provides a self-contained introduction to birational algebraic geometry, based only on commutative algebra. Series: Springer Monographs in Mathematics. Num Pages: 324 pages, biography. BIC Classification: PBH; PBMW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 19. Weight in Grams: 636.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
1998
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
324
Condition
New
Series
Springer Monographs in Mathematics
Number of Pages
312
Place of Publication
Berlin, Germany
ISBN
9783540637196
SKU
V9783540637196
Shipping Time
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Ref
99-15
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