Calabi-Yau metrics with conical singularities along line arrangements
| Autor: | Cristiano Spotti, Martin de Borbon |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Aarhus University |
| Popis: | Given a weighted line arrangement in the projective plane, with weights satisfying natural constraint conditions, we show the existence of a Ricci-flat K\"ahler metric with cone singularities along the lines asymptotic to a polyhedral K\"ahler cone at each multiple point. Moreover, we discuss a Chern-Weil formula that expresses the energy of the metric as a `logarithmic' Euler characteristic with points weighted according to the volume density of the metric. Comment: Final version. Accepted in the Journal of Differential Geometry |
| Databáze: | OpenAIRE |
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