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:
“One of the main tasks of adolescence is to achieve an identity—not necessarily a knowledge of who we are, but a clarification of the range of what we might become, a set of self-references by which we can make sense of our responses, and justify our decisions and goals.”
—Terri Apter (20th century)
“You don’t have power if you surrender all your principles—you have office.”
—Ron Todd (b. 1927)
“Rosalynn said, “Jimmy, if we could only get Prime Minister Begin and President Sadat up here on this mountain for a few days, I believe they might consider how they could prevent another war between their countries.” That gave me the idea, and a few weeks later, I invited both men to join me for a series of private talks. In September 1978, they both came to Camp David.”
—Jimmy Carter (James Earl Carter, Jr.)
““Now what I want is, Facts. Teach these boys and girls nothing but Facts. Facts alone are wanted in life. Plant nothing else, and root out everything else. You can only form the minds of reasoning animals upon Facts: nothing else will ever be of service to them.””
—Charles Dickens (1812–1870)