Yuxuan Hu

collaborators

3 papers

math.CV2026

HÃ¶lder Regularity of Dirichlet Problem For The Complex Monge-AmpÃ¨re Equation

Yuxuan Hu, Bin Zhou

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

math.AT2025

Proper kernels in microlocal sheaf theory

Yuxuan Hu

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

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…