https://neckpinch.com/authors/johannes-schafer/New arXiv papers by Johannes Schäfer, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2103.12629/arxiv:2103.12629Tue, 23 Mar 2021 00:00:00 GMTJohannes Schäfer — Let D be a compact Kähler manifold with trivial canonical bundle and Γ be a finite cyclical group of order m acting on ℂ × D by biholomorphisms, where the action on the first factor is generated by rotation of angle 2π/m. Furthermore, suppose that Ω_D is a trivialisation of the canonical bundle such that Γ preserves the holomorphic form dz ∧ Ω_D on ℂ × D, with z denoting the coordinate on ℂ. The main result of this article is the construction of new examples of gradient steady Kähler-Ricci solitons on certain crepant resolutions of the orbifolds ( ℂ× D ) / Γ. These new solitons converge exponentially to a Ricci-flat cylinder ℝ ×(S¹ × D) / Γ.Ricci solitonsKähler–Ricci solitonsRicci-flat & Calabi–YauKähler geometryLong-time existence & convergence https://neckpinch.com/papers/2001.09858/arxiv:2001.09858Mon, 27 Jan 2020 00:00:00 GMTJohannes Schäfer — We use the momentum construction for S¹-invariant Kähler metrics as developed by Hwang-Singer to construct new examples of steady Kähler-Ricci solitons. We also prove that these solitons are unique in their Kähler class, provided the vector field and the asymptotic behaviour are fixed.Ricci solitonsKähler–Ricci solitonsKähler geometryStability & uniqueness