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Limits of conical Kähler–Einstein metrics on rank one horosymmetric spaces

Delcroix, Thibaut

The Bulletin of the London Mathematical Society, 2024-07, Vol.56 (7), p.2514-2528 [Periódico revisado por pares]

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Título:
Limits of conical Kähler–Einstein metrics on rank one horosymmetric spaces
Autor: Delcroix, Thibaut
Assuntos: Complex Variables ; Differential Geometry ; Mathematics
É parte de: The Bulletin of the London Mathematical Society, 2024-07, Vol.56 (7), p.2514-2528
Descrição: We consider families of conical Kähler–Einstein metrics on rank one horosymmetric Fano manifolds, with decreasing cone angles along a codimension one orbit. At the limit angle, which is positive, we show that the metrics, restricted to the complement of that orbit, converge to (the pull‐back of) the Kähler–Einstein metric on the basis of the horosymmetric homogeneous space, which is a projective homogeneous space. Then we show that, on the symmetric space fibers, the rescaled metrics converge to Stenzel's Ricci flat Kähler metric.
Editor: London Mathematical Society
Idioma: Inglês

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