Tjurina number of a local complete intersection curve

Authors :: Hefez, Abramo
de Guzmán, Edison Marcavillaca Niño
Hernandes, Marcelo Escudeiro
Bayer, Valmecir dos Santos
Publication Year :: 2020
Abstract: Differently from the Milnor number, no formula relating the Tjurina number of a reducible algebroid curve to invariants of its branches was known. The aim of this work is to provide such a formula for a complete intersection algebroid curve with several branches in terms of invariants of its branches and the maximal points of the set of values of K\"ahler differentials on components of the curve.<br />Comment: 13 pages