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arXiv · 1508.04954

Freeness versus maximal global Tjurina number for plane curves

Alexandru Dimca
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Abstract

We give a characterization of nearly free plane curves in terms of their global Tjurina numbers, similar to the characterization of free curves as curves with a maximal Tjurina number, due to A. A. du Plessis and C.T.C. Wall. It is also shown that an irreducible plane curve having a 1-dimensional symmetry is nearly free. A new numerical characterization of free curves and a simple characterization of nearly free curves in terms of their syzygies conclude this note.

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Alexandru Dimca. 2015-12-08. Freeness versus maximal global Tjurina number for plane curves. https://doi.org/10.1017/s0305004116000803

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