Zariski's Main Theorem: Power Series Form
A formal power series version of Zariski's main theorem says that if x is a point of a normal variety then the completion of the local ring at x is a normal integral domain (Mumford 1999, III.9).
Read more about this topic: Zariski's Main Theorem
Famous quotes containing the words main, power, series and/or form:
“Man’s main task in life is to give birth to himself, to become what he potentially is. The most important product of his effort is his own personality.”
—Erich Fromm (1900–1980)
“There are old heads in the world who cannot help me by their example or advice to live worthily and satisfactorily to myself; but I believe that it is in my power to elevate myself this very hour above the common level of my life.”
—Henry David Thoreau (1817–1862)
“Every day the fat woman dies a series of small deaths.”
—Shelley Bovey, U.S. author. Being Fat Is Not a Sin, ch. 1 (1989)
“You may try but you can never imagine what it is to have a man’s form of genius in you, and to suffer the slavery of being a girl.”
—George Eliot [Mary Ann (or Marian)