Haoxu Wang

collaborators

5 papers

math.AG2026

Motivic Vanishing Cycles at Infinity and Toric Landau-Ginzburg Mirror Symmetry

Haoxu Wang

We compare motivic nearby cycles at infinity with classes computed directly on rational compactifications. Let $f$ be a regular function on a smooth variety over a field of charact…

math.AG2026

Compactification Independence of the Irregular Hodge Filtration on Deligne-Mumford Stacks

Haoxu Wang

Let $(U, w)$ be a smooth separated Deligne--Mumford stack of finite type over $C$ , with a regular function $w$ . Following Yu, one can use a compactification to defi…

math.AG2026

Irregular Hodge Bundles for Deligne--Mumford Landau--Ginzburg Families with Fixed Pole Orders

Haoxu Wang

We prove that the canonical irregular Hodge filtrations in smooth families of Deligne--Mumford Landau--Ginzburg models with fixed pole orders assemble into filtered algebraic vecto…

math.AG2026

$E_{1}$ -Degeneration for Irregular Hodge Filtrations on Deligne--Mumford Stacks

Haoxu Wang

Let $(U, w)$ be a smooth separated Deligne--Mumford stack over $C$ . Assume that its coarse space is quasi-projective. We prove $E_{1}$ -degeneration at every rational…

math.AG2024

Newton Polyhedrons and Hodge Numbers of Non-degenerate Laurent Polynomials

Haoxu Wang

Claude Sabbah has defined the Fourier transform $G$ of the Gauss-Manin system for a non-degenerate and convenient Laurent polynomial and has shown that there exists a polarized mix…

Motivic Vanishing Cycles at Infinity and Toric Landau-Ginzburg Mirror Symmetry

Compactification Independence of the Irregular Hodge Filtration on Deligne-Mumford Stacks

Irregular Hodge Bundles for Deligne--Mumford Landau--Ginzburg Families with Fixed Pole Orders

E1​-Degeneration for Irregular Hodge Filtrations on Deligne--Mumford Stacks

Newton Polyhedrons and Hodge Numbers of Non-degenerate Laurent Polynomials

$E_{1}$ -Degeneration for Irregular Hodge Filtrations on Deligne--Mumford Stacks