Free and nearly free curves from conic pencils
We construct some infinite series of free and nearly free curves using pencils of conics with a base locus of cardinality at most two. These curves have an interesting topology, e.g. a high degree Alexander polynomial that can be explicitly determined, a Milnor fiber homotopy equivalent to a bouquet...
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| Published in | Journal of the Korean Mathematical Society pp. 705 - 717 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
대한수학회
01.01.2018
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We construct some infinite series of free and nearly free curves using pencils of conics with a base locus of cardinality at most two. These curves have an interesting topology, e.g. a high degree Alexander polynomial that can be explicitly determined, a Milnor fiber homotopy equivalent to a bouquet of circles, or an irreducible translated component in the characteristic variety of their complement. Monodromy eigenspaces in the first cohomology group of the corresponding Milnor fibers are also described in terms of explicit differential forms. KCI Citation Count: 1 |
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| ISSN: | 0304-9914 2234-3008 |
| DOI: | 10.4134/JKMS.j170425 |