| 书目名称 | Resolution of Singularities of Embedded Algebraic Surfaces |
| 编辑 | Shreeram S. Abhyankar |
| 视频video | |
| 概述 | Description of the author‘s proof of desingularization of algebraic surfaces Self-contained introduction to birational algebraic geometry, based only on basic commutative algebra..The unique place whe |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 1998Latest edition |
| 关键词 | characteristic; desingularization; number theory; resolution; singularities; solids; transformations |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-662-03580-1 |
| isbn_softcover | 978-3-642-08351-8 |
| isbn_ebook | 978-3-662-03580-1Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 1998 |
发表于 2025-3-21 16:10:27
