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Logarithmic vector fields for curve configurations in P 2 with quasihomogeneous singularities
| Content Provider | Semantic Scholar |
|---|---|
| Author | Schenck, Hal Terao, Hiroaki Yoshinaga, Masahiko |
| Copyright Year | 2019 |
| Abstract | Let A = ⋃r i=1 Ci ⊆ PC be a collection of plane curves, such that each singular point of A is quasihomogeneous. We prove that if C is an irreducible curve having only quasihomogeneous singulartities, such that C ∩ A ⊆ Csm and every singular point of A ∪ C is quasihomogeneous, then there is a short exact sequence relating the OP2–module Der(− logA) of vector fields on P tangent to A to the module Der(− logA ∪ C). This yields an inductive tool for studying the splitting of the bundles Der(− logA) and Der(− logA ∪ C), depending on the geometry of the divisor A|C on C. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.intlpress.com/site/pub/files/_fulltext/journals/mrl/2018/0025/0006/MRL-2018-0025-0006-a014.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
