Tyurina Components and Rational Cycles for Rational Singularities

Authors: MERAL TOSUN

Abstract: In this paper, we give a geometric proof of Pinkham's theorem on the positive cycles supported on the exceptional divisor of a rational singularity. In order to do this, we give several properties of the Tyurina components of the exceptional divisor and of the points of blowing-up surface of a rational singularity.

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