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A connection between blowing-up and gluings in one-dimensional rings
Published online by Cambridge University Press: 22 January 2016
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Let C be an affine curve, contained on a non-singular surface X as a closed 1-dimensional subscheme. If P is a closed point on C, the blowing-up C′ of C with center P (induced by the blowing-up of X with center P) is an affine curve. It is known that there is a sequence:
where C is the normalization of C, and each Ci + 1 is the blowing-up of Ci with center a singular point Pt on Ci (i = 0, …, k – 1).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1984
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