- journal article metadata
European Mathematical Society Publishing House
2018-01-20 23:40:01
Publications of the Research Institute for Mathematical Sciences
Publ. Res. Inst. Math. Sci.
PRIMS
0034-5318
1663-4926
General
10.4171/PRIMS
http://www.ems-ph.org/doi/10.4171/PRIMS
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Research Institute for Mathematical Sciences, Kyoto University
54
2018
1
Free and Nearly Free Curves vs. Rational Cuspidal Plane Curves
Alexandru
Dimca
Université de Nice Sophia Antipolis, France
Gabriel
Sticlaru
Ovidius University, Constanţa, Romania
Free divisor, rational cuspidal curve, Jacobian ideal, Milnor algebra
We define a class of plane curves that are close to the free divisors in terms of the local cohomology of their Jacobian algebras and such that, conjecturally, any rational cuspidal curve $C$ is either free or belongs to this class. We prove this conjecture when the degree of $C$ is either even or a prime power, or when the group of $C$ is abelian.
Algebraic geometry
163
179
10.4171/PRIMS/54-1-6
http://www.ems-ph.org/doi/10.4171/PRIMS/54-1-6
1
17
2018