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

Voir la notice de l'acte provenant de la source Bulgarian Digital Mathematics Library

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 
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/
@incollection{MEM_2022_51_a6,
     author = {Rangachev, Antoni},
     title = {The evolving notion of multiplicity as an invariant in singularity theory},
     booktitle = {},
     series = {Mathematics and Education in Mathematics},
     pages = {89--99},
     year = {2022},
     volume = {51},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MEM_2022_51_a6/}
}
TY  - JOUR
AU  - Rangachev, Antoni
TI  - The evolving notion of multiplicity as an invariant in singularity theory
JO  - Mathematics and Education in Mathematics
PY  - 2022
SP  - 89
EP  - 99
VL  - 51
UR  - http://geodesic.mathdoc.fr/item/MEM_2022_51_a6/
LA  - en
ID  - MEM_2022_51_a6
ER  - 
%0 Journal Article
%A Rangachev, Antoni
%T The evolving notion of multiplicity as an invariant in singularity theory
%J Mathematics and Education in Mathematics
%D 2022
%P 89-99
%V 51
%U http://geodesic.mathdoc.fr/item/MEM_2022_51_a6/
%G en
%F MEM_2022_51_a6