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math.AG2024
On Special Subvarieties of the Universal Semi-abelian Scheme and Zilber--Pink Conjectures
Kaiyuan Gu, Chenxin Huang
We classify the special subvarieties of the universal semi-abelian scheme of arbitrary toric rank, viewed as a mixed Shimura variety. As an application, we show that the Zilber--Pi…
cond-mat.mes-hall2024
Inevitable First Order Phase Transitions in 3D Quantum Hall Systems
Kaiyuan Gu, Kai Torrens, Biao Lian
Recent experiments suggest that low carrier density three-dimensional (3D) metals ZrTe and HfTe exhibit the 3D quantum Hall (QH) effect with Hall resistivity plateaus and a…