RT Journal Article
T1 The minimal Tjurina number of irreducible germs of plane curves singularities
A1 Alberich-Carramiñana, María
A1 Almirón, Patricio
A1 Blanco, Guillem
A1 Melle Hernández, Alejandro
AB In this paper we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and the Tjurina numbers for any irreducible germ of plane curve singularity. This result is based on a closed formula for the minimal Tjurina number of an equisingularity class in terms of the sequence of multiplicities of the strict transform along a resolution. The key points for the proof are previous results by Genzmer [6], and by Wall and Mattei [13, 11].
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/7204
UL https://hdl.handle.net/20.500.14352/7204
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Generalitat de Catalunya
NO Barcelona Graduate School of Mathematics (BGSMath)
DS Docta Complutense
RD 6 abr 2025