Geodesic
Equimultiple Locus of Embedded Algebroid Surfaces and Blowing–up in Characteristic Zero
Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 195-206.

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The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution processes, both classical and modern. In this paper we explore how it changes by blowing–up.
Keywords: Resolution of Surface Singularities, Blowing–up, Equimultiple Locus 
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Piedra-Sánchez, R.; Tornero, J. Equimultiple Locus of Embedded Algebroid Surfaces and Blowing–up in Characteristic Zero. Serdica Mathematical Journal, Tome 30 (2004) no. 2-3, pp. 195-206. http://geodesic.mathdoc.fr/item/SMJ2_2004_30_2-3_a5/