An Example of a Ring Associated to a Divisor on Rational Ruled Surfaces

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概要

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• Let D be a divisor on a normal algebraic variety X, and R(X, D) be a graded ring associated to D. When D is ample, the structure of R(X, D) is well known, but is known little otherwise. We studied it in [3] when X is a rational scroll and |D| is base point free but D is not ample. In that case, R(X, D) is Cohen Macaulay and generated by the elements of gegree 1. In this article we study the case that dimension of X is two, and deteemine all the generators of R(X, D) explicitely by using the technique of torus emdeddings.

• 前橋工科大学の論文
• 1998-04-09

著者

• 渡辺 雅之

  情報工学科

関連論文

• An Example of a Ring Associated to a Divisor on Rational Ruled Surfaces

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