Yuxuan Hu

collaborators

4 papers

math.AT2025

Proper kernels in microlocal sheaf theory

Yuxuan Hu

Let $X$ and $Y$ be real analytic manifolds and let $Λ \subseteq T^{*} X$ and $Σ \subseteq T^{*} Y$ be closed conic subanalytic singular isotropics. Given a sheaf $K \in \mathrm{Sh}_{-Λ\tim…

math.CV2025

Hölder Regularity of Dirichlet Problem For The Complex Monge-Ampère Equation

Yuxuan Hu, Bin Zhou

We study the Dirichlet problem for the complex Monge-Ampère equation on a strictly pseudoconvex domain in Cn or a Hermitian manifold. Under the condition that the right-hand side l…

math.AG2025

Toric Mirror Symmetry for Homotopy Theorists

Qingyuan Bai, Yuxuan Hu

We construct functors sending torus-equivariant quasi-coherent sheaves on toric schemes over the sphere spectrum to constructible sheaves of spectra on real vector spaces. This pro…

math.AG2023

Coherent-Constructible Correspondence for Toric Fibrations

Yuxuan Hu, Pyongwon Suh

Let $Σ$ be a fan inside the lattice $Z^{n}$ , and $E : Z^{n} \to Pic S$ be a map of abelian groups. We introduce the notion of a princi…