Tjurina number of a local complete intersection curve

2020/01/29 by Abramo Hefez, Hefez, Abramo, Edison Marcavillaca Niño de Guzmán +5 · 3 citations
Mathematics · Arts and Humanities · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #North African History and Literature

paper · pdf · doi:10.48550/arxiv.2001.11123

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 Kähler differentials on components of the curve.

Cited by

• Bernstein polynomial and value set of differentials for plane branches
• On some indices of foliations and applications
• On the Saito basis for plane curves

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