Modification
From Encyclopedia of Mathematics
of an analytic space
An analytic mapping 
of analytic spaces such that for certain analytic sets 
and 
of smaller dimensions, the conditions
 |
and
 |
hold. A modification is also called a contraction of 
onto 
. An example of a modification is a monoidal transformation.
See also Exceptional analytic set; Exceptional subvariety.
References
| [1] | H. Behnke, K. Stein, "Modifikation komplexer Mannigfaltigkeiten und Riemannschen Gebiete" Math. Ann. , 124 : 1 (1951) pp. 1–16 |
Comments
References
| [a1] | R. Hartshorne, "Algebraic geometry" , Springer (1977) MR0463157 Zbl 0367.14001 |
How to Cite This Entry:
Modification. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Modification&oldid=47868
Modification. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Modification&oldid=47868
This article was adapted from an original article by A.L. Onishchik (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article