Yue-Qiao Wu

collaborators

5 papers

math.AG2026

The space of polarized compactifications of an affine variety

Mattias Jonsson, Yueqiao Wu

Let $X$ be a normal affine variety over an algebraically closed field of characteristic zero. Through the lens of non-Archimedean geometry, we study the space of polarized compacti…

math.GT2026

Non-isotopic surfaces in $T^{4} # (S^{2} \times S^{2})$ : an example

Jianfeng Lin, Yue Wu

We prove that there exist infinitely many embedded tori with a common geometric dual in $T^{4} # (S^{2} \times S^{2})$ that are homotopic, diffeomorphic, but not isotopic to each other, ev…

math.AG2024

K-semistability of log Fano cone singularities

Yuchen Liu, Yueqiao Wu

We give a non-Archimedean characterization of K-semistability of log Fano cone singularities, and show that it agrees with the definition originally defined by Collins--Székelyhidi…

math.AG2024

Some non-Archimedean pluripotential theory on polarized affine cones

Yueqiao Wu

We undertake a preliminary step towards studying non-Archimedean pluripotential theory on polarized affine cones over a trivially valued field. We study plurisubharmonic functions…

math.AG2024

Connections between K-stability and Vojta's conjecture

Jackson S. Morrow, Yueqiao Wu

In this note, we use recent advances concerning the K-stability of $Q$ -Fano varieties to provide settings for which Vojta's conjecture holds.

The space of polarized compactifications of an affine variety

Non-isotopic surfaces in T4#(S2×S2): an example

K-semistability of log Fano cone singularities

Some non-Archimedean pluripotential theory on polarized affine cones

Connections between K-stability and Vojta's conjecture

Non-isotopic surfaces in $T^{4} # (S^{2} \times S^{2})$ : an example