Nash Blowing- Up

Herausgegeben:Surhone, Lambert M.; Tennoe, Mariam T.; Henssonow, Susan F.

• Broschiertes Buch

Produktbeschreibung

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 X_text{reg}:=Xsetminus text{Sing}(X) it is possible to define a map tau:X_text{reg}rightarrow Xtimes G_r^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.

Produktdetails

• Verlag: Betascript Publishing
• Seitenzahl: 84
• Englisch
• Abmessung: 220mm
• ISBN-13: 9786131298080
• ISBN-10: 6131298084
• Artikelnr.: 30119047