The Total Coordinate Ring of a Normal Projectivevariety

  title={The Total Coordinate Ring of a Normal Projectivevariety},
  author={E. Elizondo and KAZUHIKO KURANO and Kei-ichi Watanabe},
where the sum as above is taken over all Weil divisors of X contained in a fixed complete system of representatives of Cl(X). We refer to Definition 2.1 for a precise definition of TC(X). Such rings grew out of an old problem of classical algebraic geometry, which we describe as follows. Let p1, . . . , pm be distinct m points in the projective space P r over C, and let π : X → P be the blow up of P at {p1, . . . , pm}. Put Ei = π (pi) for i = 1, . . . , m. Let H be a hyperplane in P and put A… CONTINUE READING
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