From the 1 of 23 linked papers with an AI index.
23 papers
Disproof of the Yau--Tian--Donaldson conjecture
Jihao Liu
We construct a polarized smooth projective fivefold and prove that it is K-polystable but does not admit a constant scalar curvature Kähler metric. This disproves the Yau--Tian--Do…
Mori dream Jacobian elliptic surfaces of Kodaira dimension one
Antonio Laface, Sichen Li, Jihao Liu
Let be a Jacobian elliptic surface over , and set , so that . Assume that the Mordell--Weil group of is fini…
The equality case of Ehrhart's volume conjecture
Jihao Liu
We prove that every full-dimensional compact convex body in whose barycenter is its unique interior lattice point and whose volume is is a unimodular ima…
Removing the Torsion-free Hypothesis in a Positivity Theorem on Deligne-Mumford Stacks
Shengyu Hou, Jihao Liu
The paper proves a positivity theorem for Deligne-Mumford stacks without requiring the torsion‑free assumption, answering a question posed by Casalaina‑Martin and Zhjeqi.
Danus: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory
Jihao Liu, Guoxiong Gao, Zeming Sun +8
Recent LLM-based mathematical reasoning agents have begun to tackle research-level problems and, in several cases, have contributed to the resolution of open problems. However, sca…
On two questions of Qi on saturated filtrations
Jihao Liu, Haofeng Zhang
We answer two questions of Qi [J. Reine Angew. Math. 830 (2026)] on the metric space of saturated filtrations, one affirmatively and one negatively. The main result of this paper w…