Complex planar curves homeomorphic to a line have at most four singular points
| Autor: | Karol Palka, Mariusz Koras |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Pure mathematics
Planar curve Degree (graph theory) Mathematics - Complex Variables Applied Mathematics General Mathematics 14H50 14J26 14J17 14E30 Mathematics - Algebraic Geometry Planar Projective line Line (geometry) FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Complex Variables (math.CV) Projective test Algebraic Geometry (math.AG) Equivalence (measure theory) Mathematics |
| Zdroj: | Journal de Mathématiques Pures et Appliquées. 158:144-182 |
| ISSN: | 0021-7824 |
| DOI: | 10.1016/j.matpur.2021.11.003 |
| Popis: | We show that a complex planar curve homeomorphic to the projective line has at most four singular points. If it has exactly four then it has degree five and is unique up to a projective equivalence. 35 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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