Plane curves with three syzygies, plus-one generated curves, and nearly cuspidal curves - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2018

Plane curves with three syzygies, plus-one generated curves, and nearly cuspidal curves

Résumé

We start the study of reduced complex projective plane curves, whose Jacobian syzygy module has 3 generators. Among these curves one finds the nearly free curves introduced by the authors, and the plus-one generated line arrangements introduced recently by Takuro Abe. Rational plane curves which are nearly cuspidal, i.e. which have only cusps except one singularity with two branches, are also related to these classes of curves.

Dates et versions

hal-01951971 , version 1 (11-12-2018)

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Alexandru Dimca, Gabriel Sticlaru. Plane curves with three syzygies, plus-one generated curves, and nearly cuspidal curves. 2018. ⟨hal-01951971⟩
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