63 citations · 243 across the 10 of their papers we have counts for
12 papers
Kähler-Einstein metrics along the smooth continuity method
Ved Datar, Gábor Székelyhidi
We show that if a Fano manifold is K-stable with respect to special degenerations equivariant under a compact group of automorphisms, then admits a Kähler-Einstein metric.…
Violation of the strong Huygen's principle and timelike signals from the early Universe
Ana Blasco, Luis J. Garay, Mercedes Martin-Benito +1
We analyze the implications of the violations of the strong Huygens principle in the transmission of information from the early universe to the current era via massless fields. We…
A remark on conical Kähler-Einstein metrics
Gábor Székelyhidi
We give some non-existence results for Kähler-Einstein metrics with conical singularities along a divisor on Fano manifolds. In particular we show that the maximal possible cone an…
Remark on the Calabi flow with bounded curvature
Gábor Székelyhidi
In this short note we prove that if the curvature tensor is uniformly bounded along the Calabi flow and the Mabuchi energy is proper, then the flow converges to a constant scalar c…
Filtrations and test-configurations
Gábor Székelyhidi
We introduce a strengthening of K-stability, based on filtrations of the homogeneous coordinate ring. This allows for considering certain limits of families of test-configurations,…
On the positive mass theorem for manifolds with corners
Donovan McFeron, Gábor Székelyhidi
We study the positive mass theorem for certain non-smooth metrics following P. Miao's work. Our approach is to smooth the metric using the Ricci flow. As well as improving some pre…