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We relate the equianalytic and the equisingular deformations of a reduced complex plane curve to the Jacobian syzygies of its defining equation. Several examples and conjectures involving rational cuspidal curves are discussed. 相似文献
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In this note we describe the minimal resolution of the ideal , the saturation of the Jacobian ideal of a nearly free plane curve . In particular, it follows that this ideal can be generated by at most 4 polynomials. Related general results by Hassanzadeh and Simis on the saturation of codimension 2 ideals are discussed in detail. Some applications to rational cuspidal plane curves and to line arrangements are also given. 相似文献
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Journal of Algebraic Combinatorics - We study the change of the minimal degree of a logarithmic derivation of a hyperplane arrangement under the addition or the deletion of a hyperplane and give a... 相似文献
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