Zariski's Main Theorem - Zariski's Main Theorem: Topological Form

Zariski's Main Theorem: Topological Form

A topological version of Zariski's main theorem says that if x is a (closed) point of a normal complex variety then there are arbitrarily small neighborhoods U of x such that the set of non-singular points of U is connected (Mumford 1999, III.9).

Read more about this topic:  Zariski's Main Theorem

Famous quotes containing the words main and/or form:

    I had one life. And what did I do? Wasted it in some palooka preliminaries in Spain, just before Hitler and Chamberlain warm up for the main event.
    Billy Wilder (b. 1906)

    For women who do not love us, as for the “disappeared”, knowing that we no longer have any hope does not prevent us form continuing to wait. We live on our guard, on watch; women whose son has gone asea on a dangerous exploration imagine at any minute, although it has long been certain that he has perished, that he will enter, miraculously saved, and healthy.
    Marcel Proust (1871–1922)