14 citations · 18 across the 8 of their papers we have counts for
9 papers · 1 filter
Extremal Sasaki manifolds and weighted K-stability
Simon Jubert, Chung-Ming Pan
We remove the log-concavity assumption on the weight in the analytic weighted Yau--Tian--Donaldson correspondence established in [arXiv:2406.10939, arXiv:2407.09929, arXiv:2503.221…
New extremal Kähler metrics on projective bundles
Simon Jubert
Consider a holomorphic vector bundle over a compact complex curve which decomposes as a sum of stable vector bundles. For the projectivization , we prove tha…
Relative uniform Yau--Tian--Donaldson correspondence for projective bundles over a curve
Simon Jubert, Chenxi Yin
This paper is concerned with a relative uniform Yau--Tian--Donaldson correspondence, in terms of test configurations, for the projectivization \( \mathbb{P}(E) \) of a holomorphic…
Numerical invariants for weighted cscK metrics
Thibaut Delcroix, Simon Jubert
In K-stability, the delta invariant of a Fano variety encodes the existence of Kähler-Einstein metrics. We introduce a weighted analytic delta invariant, and a reduced version, tha…
Weighted cscK metric (II): the continuity method
Eleonora Di Nezza, Simon Jubert, Abdellah Lahdili
In this paper we investigate the existence of metrics with weighted constant scalar curvature (wcscK for short) on a compact Kähler manifold : this notion include constant scala…
Weighted cscK metric (I): a priori estimates
Eleonora Di Nezza, Simon Jubert, Abdellah Lahdili
Let be a compact Kähler manifold. In this paper we study the existence of constant weighted scalar curvature Kähler (weighted cscK) metrics on . More precisely, we establish…
An effective weighted K-stability condition for polytopes and semisimple principal toric fibratons
Thibaut Delcroix, Simon Jubert
The second author has shown that existence of extremal Kähler metrics on semisimple principal toric fibrations is equivalent to a notion of weighted uniform K-stability, read off f…
A Yau-Tian-Donaldson correspondence on a class of toric fibrations
Simon Jubert
We established a Yau--Tian--Donaldson type correspondence, expressed in terms of a single Delzant polytope, concerning the existence of extremal Kähler metrics on a large class of…
Weighted K-stability and coercivity with applications to extremal Kahler and Sasaki metrics
Vestislav Apostolov, Simon Jubert, Abdellah Lahdili
We show that a compact weighted extremal Kahler manifold (as defined by the third named author) has coercive weighted Mabuchi energy with respect to a maximal complex torus in the…