Zariski's Main Theorem - Zariski's Main Theorem: Power Series Form

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:

    But the main things about a man are his eyes and his feet. He should be able to see the world and go after it.
    Alfred Döblin (1878–1957)

    A physician can sometimes parry the scythe of death, but has no power over the sand in the hourglass.
    Hester Lynch Piozzi (1741–1821)

    I thought I never wanted to be a father. A child seemed to be a series of limitations and responsibilities that offered no reward. But when I experienced the perfection of fatherhood, the rest of the world remade itself before my eyes.
    Kent Nerburn (20th century)

    [One cannot express lack of knowledge in affirmative language.] This idea is more firmly grasped in the form of interrogation: “What do I know?”Mthe words I bear as a motto, inscribed over a pair of scales.
    Michel de Montaigne (1533–1592)