English

Tjurina number of a local complete intersection curve

Algebraic Geometry 2020-01-31 v1

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.

Keywords

Cite

@article{arxiv.2001.11123,
  title  = {Tjurina number of a local complete intersection curve},
  author = {Abramo Hefez and Edison Marcavillaca Niño de Guzmán and Marcelo Escudeiro Hernandes and Valmecir dos Santos Bayer},
  journal= {arXiv preprint arXiv:2001.11123},
  year   = {2020}
}

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13 pages