https://neckpinch.com/authors/ivin-babu/New arXiv papers by Ivin Babu, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2512.18137/arxiv:2512.18137Fri, 19 Dec 2025 00:00:00 GMTIvin Babu, Ronan J. Conlon, Alix Deruelle — We show that any toric asymptotically conical shrinking gradient Kähler-Ricci soliton on an anti-canonically polarised resolution of a Kähler cone satisfies a complex Monge-Ampère equation. We then set up an Aubin continuity path to solve the resulting equation and show that it has a solution at the initial value of the path parameter in the toric case. This we do by implementing another continuity method. Finally, we prove openness of the initial value of the path parameter independent of the toricity.Ricci solitonsKähler–Ricci solitonsKähler geometryBoundaries & non-compact