Ronan J. Conlon

activity

20122026

most citedAsymptotically conical Calabi-Yau manifolds, I

75 citations · 135 across the 20 of their papers we have counts for

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Showing 2022Show all

4 papers · 1 filter

math.DG2022★ 1 cited

A new complete two-dimensional shrinking gradient Kähler-Ricci soliton

Richard H. Bamler, Charles Cifarelli, Ronan J. Conlon +1

We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of $C \times P^{1}$ at one point. Th…

math.DG2022

An Aubin continuity path for shrinking gradient Kähler-Ricci solitons

Charles Cifarelli, Ronan J. Conlon, Alix Deruelle

Let $D$ be a toric Kähler-Einstein Fano manifold. We show that any toric shrinking gradient Kähler-Ricci soliton on certain toric blowups of $C \times D$ satisfies a comple…

math.DG2022

On finite time Type I singularities of the Kähler-Ricci flow on compact Kähler surfaces

Charles Cifarelli, Ronan J. Conlon, Alix Deruelle

We show that the underlying complex manifold of a complete non-compact two-\linebreak dimensional shrinking gradient Kähler-Ricci soliton $(M, g, X)$ with soliton metric $g$ with…

math.DG2022★ 1 cited

Classification of asymptotically conical Calabi-Yau manifolds

Ronan J. Conlon, Hans-Joachim Hein

A Riemannian cone $(C, g_{C})$ is by definition a warped product $C = R^{+} \times L$ with metric $g_{C} = d r^{2} \oplus r^{2} g_{L}$ , where $(L, g_{L})$ is a compact Riemannian manifold…