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 knew that the wall was the main thing in Quebec, and had cost a great deal of money.... In fact, these are the only remarkable walls we have in North America, though we have a good deal of Virginia fence, it is true.”
—Henry David Thoreau (1817–1862)
“Nihilism as a symptom that the losers have no more consolation: that they destroy in order to be destroyed, that without morality they no longer have any reason to “resign themselves”Mthat they put themselves on the level of the opposite principle and for their part also want power in that they compel the mighty to be their hangmen. This is the European form of Buddhism, renunciation, once all existence has lost its “meaning.””
—Friedrich Nietzsche (1844–1900)