2026-06-27T10:23:21Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/72052023-08-11T07:47:18Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Almirón, Patricio
2023-06-17T08:28:00Z
2023-06-17T08:28:00Z
2021
https://hdl.handle.net/20.500.14352/7205
In this note we provide a formula for the Tjurina number of a join of isolated hypersurface singularities in separated variables. From this we are able to provide a characterization of isolated hypersurface singularities whose difference between the Milnor and Tjurina numbers is less or equal than two arising as the join of isolated hypersurface singularities in separated variables. Also, we are able to provide new upper bounds for the quotient of Milnor and Tjurina numbers of certain join of isolated hypersurface singularities. Finally, we deduce an upper bound for the quotient of Milnor and Tjurina numbers in terms of the singularity index of any isolated hypersurface singularity, not necessarily a join of singularities.
eng
The Tjurina number for Sebastiani-Thom type isolated hypersurface singularities
journal article
URL
https://docta.ucm.es/bitstreams/e9880acc-a1d0-4aa1-9a27-b19e6da301a1/download
File
MD5
63d78be8bd9ac1920b868aaa61b2e71a
117236
application/pdf
almiron_thetjurina.pdf