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Deformations of plane curves and Jacobian syzygies
Author(s) -
Dimca Alexandru,
Sticlaru Gabriel
Publication year - 2020
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201900137
Subject(s) - jacobian matrix and determinant , mathematics , plane curve , plane (geometry) , mathematical analysis , complex plane , pure mathematics , geometry
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.