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- Title
Freeness versus maximal global Tjurina number for plane curves.
- Authors
DIMCA, ALEXANDRU
- Abstract
We give a characterisation of nearly free plane curves in terms of their global Tjurina numbers, similar to the characterisation of free curves as curves with a maximal Tjurina number, given by 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 characterisation of free curves and a simple characterisation of nearly free curves in terms of their syzygies conclude this paper.
- Subjects
PLANE curves; REAL numbers; MATHEMATICAL symmetry; SYZYGIES (Mathematics); NUMERICAL analysis
- Publication
Mathematical Proceedings of the Cambridge Philosophical Society, 2017, Vol 163, Issue 1, p161
- ISSN
0305-0041
- Publication type
Article
- DOI
10.1017/S0305004116000803