Showing math.DGShow all
3 papers · 1 filter
math.DG2025
Compactification of metric moduli space of surfaces
Zexuan Ouyang, Gang Tian
We prove a conjecture of Odaka--Oshima, which says that there is an algebraic description of the Gromov--Hausdorff compactification of all unit-diameter hyperkähler metrics on K3 s…
math.DG2025
Hermitian-Einstein Metrics on Parabolic Bundles over compact complex surfaces
Xilun Li, Gang Tian
We prove the Kobayashi-Hitchin correspondence for parabolic bundles over compact nonKähler surfaces with simple normal crossing divisor or compact nonKähler manifolds of any dimens…
math.DG2025
Stability thresholds for big classes
Chenzi Jin, Yanir A. Rubinstein, Gang Tian
In 1987, the -invariant theorem gave a fundamental criterion for existence of Kahler-Einstein metrics on smooth Fano manifolds. In 2012, Odaka-Sano extended the framework to $\m…