C. Cifarelli

activity

20202024

most citedA new complete two-dimensional shrinking gradient Kähler-Ricci soliton

1 citations · 1 across the 7 of their papers we have counts for

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math.DG2024

Explicit complete Ricci-flat metrics and Kähler-Ricci solitons on direct sum bundles

Charles Cifarelli

Let $B$ be a Kähler-Einstein Fano manifold, and $L \to B$ be a suitable root of the canonical bundle. We give a construction of complete Calabi-Yau metrics and gradient shrinking,…

math.DG2023

Hamiltonian $2$ -forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on $C^{n}$

Vestislav Apostolov, Charles Cifarelli

For each partition of the positive integer $n = ℓ + \sum_{j = 1}^{ℓ} d_{j}$ , where $ℓ \geq 1$ and $d_{j} \geq 0$ are integers, we construct a continuous $(ℓ - 1)$ -parameter family of…

math.DG2023

Weighted K-stability for a class of non-compact toric fibrations

Charles Cifarelli

We study the weighted constant scalar curvature, a modified scalar curvature introduced by Lahdili depending on weight functions $(v, w)$ , on certain non-compact semisimple toric f…

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.DG2020

Uniqueness of shrinking gradient Kähler-Ricci solitons on non-compact toric manifolds

Charles Cifarelli

We show that, up to biholomorphism, there is at most one complete $T^{n}$ -invariant shrinking gradient Kähler-Ricci soliton on a non-compact toric manifold $M$ . We also establish uni…

Explicit complete Ricci-flat metrics and Kähler-Ricci solitons on direct sum bundles

Hamiltonian 2-forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on Cn

Weighted K-stability for a class of non-compact toric fibrations

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

An Aubin continuity path for shrinking gradient Kähler-Ricci solitons

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

Uniqueness of shrinking gradient Kähler-Ricci solitons on non-compact toric manifolds

Hamiltonian $2$ -forms and new explicit Calabi--Yau metrics and gradient steady Kähler--Ricci solitons on $C^{n}$