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 know that some will have hard thoughts of me, when they hear their Christ named beside my Buddha, yet I am sure that I am willing they should love their Christ more than my Buddha, for the love is the main thing, and I like him too.”
—Henry David Thoreau (1817–1862)
“Patience. A minor form of despair disguised as a virtue.”
—Ambrose Bierce (1842–1914)