Séminaires : Séminaire d'Analyse et Géométrie

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I will talk about joint work with C. Spotti on Calabi-Yau metrics with cone singularities along line arrangements in the complex projective plane. If a numerical constraint on the cone angles (known as the Troyanov condition) at a multiple point of the arrangement is satisfied, then we identify the tangent cone of the Calabi-Yau metric as a Polyhedral Kahler cone. By the end of the talk I will present work in progress, joint with G. Edwards, considering the case where the Troyanov condition is not satisfied