On Maximal Ideal Cycles for 2-Dimensional Normal Double Points
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概要
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In this paper we study the maximal ideal cycle on the minimal good resolution of a normal double point (X, o) defined by z^2=f(x, y) over the complex number field. We compare it to the fundamental cycle on the minimal resolution of (X, o). By using an argument of covering surface, we show that the ratio of coefficients of such both cycles on any exceptional component is always 1 or 2.
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