3 papers
math.DG2026
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…
math.DG2026
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 scal…
math.DG2025
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, th…