Mixed tête-à-tête twists as monodromies associated with holomorphic function germs
| Autor: | Pablo Portilla Cuadrado, Baldur Sigurðsson |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Surface (mathematics)
Pure mathematics Mathematics - Complex Variables Plane curve Singularity theory Mathematics::History and Overview 010102 general mathematics Holomorphic function Algebraic geometry Automorphism 01 natural sciences Physics::History of Physics Mapping class group Computer Science::Hardware Architecture Mathematics - Geometric Topology Monodromy 0103 physical sciences 010307 mathematical physics Geometry and Topology 32S55 57R50 57R52 58K10 0101 mathematics Mathematics - General Topology Mathematics |
| Zdroj: | Geometriae Dedicata. 210:43-64 |
| ISSN: | 1572-9168 0046-5755 |
| DOI: | 10.1007/s10711-020-00533-7 |
| Popis: | T\^ete-\`a-t\^ete graphs were introduced by N. A'Campo in 2010 with the goal of modeling the monodromy of isolated plane curves. Mixed t\^ete-\`a-t\^ete graphs provide a generalization which define mixed t\^ete-\`a-t\^ete twists, which are pseudo-periodic automorphisms on surfaces. We characterize the mixed t\^ete-\`a-t\^ete twists as those pseudo-periodic automorphisms that have a power which is a product of right-handed Dehn twists around disjoint simple closed curves, including all boundary components. It follows that the class of t\^ete-\`a-t\^ete twists coincides with that of monodromies associated with reduced function germs on isolated complex surface singularities. Comment: 21 pages, 14 figures. Minor corrections. Version as accepted in journal. arXiv admin note: text overlap with arXiv:1706.05580 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink