2021
DOI: 10.48550/arxiv.2112.04316
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Addition-deletion results for the minimal degree of a Jacobian syzygy of a union of two curves

A. Dimca,
G. Ilardi,
G. Sticlaru

Abstract: Let C : f = 0 be a reduced curve in the complex projective plane. The minimal degree mdr(f ) of a Jacobian syzygy for f , which is the same as the minimal degree of a derivation killing f , is an important invariant of the curve C, for instance it can be used to determined whether C is free or nearly free. In this note we study the relations of this invariant mdr(f ) with a decomposition of C as a union of two curves C 1 and C 2 , without common irreducible components. When all the singularities that occur are… Show more

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