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:
“Dust rises from the main road and old Délira is stooping in front of her hut. She doesn’t look up, she softly shakes her head, her headkerchief all askew, letting out a strand of grey hair powdered, it appears, with the same dust pouring through her fingers like a rosary of misery. She repeats, “we will all die”, and she calls on the good Lord.”
—Jacques Roumain (1907–1945)
“Falsehood is invariably the child of fear in one form or another.”
—Aleister Crowley (1875–1947)