68 citations · 156 across the 15 of their papers we have counts for
16 papers
On the generalized numerical criterion
Sean Timothy Paul, Song Sun, Junsheng Zhang
In this note, we give examples that demonstrate a negative answer to the generalized numerical criterion problem for pairs.
Mahler measures, Stable Pairs, and the Global coercive estimate for the Mabuchi Functional
Sean Timothy Paul
We show that the Mabuchi energy of any polarized manifold (X,L) is (bounded below) proper on the full space of Kahler metrics in the first Chern class of L if and only if (X,L) is…
Faltings Heights, Igusa Local Zeta Functions, and the Stability Conjectures in Kahler Geometry I
Sean Timothy Paul
Let (X,L) be a polarized manifold. Assume that the automorphism group is finite. If the height discrepancy of (X,L) is O(d^2) then (X,L) admits a csck metric in the first chern cla…
Fourier-Mukai Transforms, Euler-Green Currents, and K-Stability
Sean Timothy Paul, Kyriakos Sergiou
We provide an analog of the Hilbert-Chow morphism for generalized discriminants.
Stable Pairs and Coercive Estimates for The Mabuchi Functional
Sean Timothy Paul
We show that a projective manifold is stable if and only if the Mabuchi energy is proper on the space of algebraic metrics. We show that stability implies finite automorphism group…
A Numerical Criterion for K-Energy maps of Algebraic Manifolds
Sean Timothy Paul
Let X be a projective manifold. We prove that the Mabuchi Energy of X is bounded below on all degenerations in B (the space of Bergman metrics) if and only if it is bounded below u…