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Nash Blowing- Up
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Geliefert zwischen Mi., 28.01.2026 und Do., 29.01.2026
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In algebraic geometry, a Nash blowing-up is a process in which, roughly speaking, each singular point is replaced by all the limiting positions of the tangent spaces at the non-singular points. Strictly speaking, if X is an algebraic variety of pure codimension r embedded in a smooth variety of dimension n, Sing(X) denotes the set of its singular points and Xtext{reg}:=Xsetminus text{Sing}(X) it is possible to define a map tau:Xtext{reg}rightarrow Xtimes Gr^n, where G{r}^{n} is the Grassmanian of r-planes in n-space, by (a): = (a,TX,a), where TX,a is the tangent space of X at a. Now, the closure of the image of this map together with the projection to X is called the Nash blowing-up of X. Although (to emphasize its geometric interpretation) an embedding was used to define the Nash embedding it is possible to prove that it doesn''t depend on it.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131298080
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131298080
- Format Fachbuch
- Titel Nash Blowing- Up
- Herausgeber Betascript Publishing
- Anzahl Seiten 84
- Genre Mathematik
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