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:
“The chief misery of the decline of the faculties, and a main cause of the irritability that often goes with it, is evidently the isolation, the lack of customary appreciation and influence, which only the rarest tact and thoughtfulness on the part of others can alleviate.”
—Charles Horton Cooley (18641929)
“While they stand at home at the door he is dead already,
The only son is dead.
But the mother needs to be better,
She with thin form presently drest in black,
By day her meals untouchd, then at night fitfully sleeping, often waking,
In the midnight waking, weeping, longing with one deep longing,
O that she might withdraw unnoticed, silent from life escape and
withdraw,
To follow, to seek, to be with her dear dead son.”
—Walt Whitman (18191892)