On Realizations of Some Plane Algebroid Curves

Journal of Singularities
volume 19 (2019), 1-18

Received: 29 November 2017. Received in revised form: 24 November 2018.

DOI: 10.5427/jsing.2019.19a

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Abstract:

In this work we study plane algebroid curves whose Milnor and Tjurina numbers differ by two. Since this difference is characterized by exact Kähler differentials, and this case is already totally classified, one may ask about a realization for such a curve. Tensoring the local ring by a suitable algebra, we describe its universal central extension, and characterize a type of representation for it.

2010 Mathematical Subject Classification:

Primary 14H20, 14H45, 14H51

Author(s) information: