Geodesic
The evolving notion of multiplicity as an invariant in singularity theory
Mathematics and Education in Mathematics, Tome 51 (2022), pp. 89-99.

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We survey results on the multiplicity of a complex analytic variety at a point and its generalizations as numerical invariants in singularity theory. В тази работа правим обзор на резултати, свързани с индекса на кратност в точка на комплексно аналитично многообразие, негови обобщения и приложението им като числени инварианти в теория на особеностите.
Keywords: Multiplicity, equisingularity, Hilbert–Samuel multiplicity, Buchsbaum–Rim multiplicity, local volume, Excess–Degree Formula, Local Volume Formula, 32S15, 32S30, 32S60, 14C17, 14B15, 13A30, 13H15, 32S15, 32S30, 32S60, 14C17, 14B15, 13A30, 13H15 
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     title = {The evolving notion of multiplicity as an invariant in singularity theory},
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Rangachev, Antoni. The evolving notion of multiplicity as an invariant in singularity theory. Mathematics and Education in Mathematics, Tome 51 (2022), pp. 89-99. http://geodesic.mathdoc.fr/item/MEM_2022_51_a6/