Yifeng Huang

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math.AG2025

Hilbert Series for Configuration Spaces of Punctured Surfaces

Yifeng Huang, Eric Ramos

Let $Σ_{g, r}$ denote the $r$ -punctured closed Riemann surface of genus $g$ . For every $g \geq 0$ , we determine the four-variable generating function for the mixed Hodge numbers of t…

math.AG2025

Low degree subvarieties of universal hypersurfaces

Yifeng Huang, Borys Kadets, Olivier Martin

We study irreducible subvarieties of the universal hypersurface $X / B$ of degree $d$ and dimension $n$ . We prove that when $d$ is sufficiently large, a degree $k d$ subvari…