3 papers
math.AG2025
On the Log Hodge Theory of Toroidal Varieties and a Partial Proof of the Absolute Hodge Conjecture
Jiaming Luo
In this paper, we establish an innovative framework in logarithmic Hodge theory for toroidal varieties, introducing weighted toroidal structures and developing a systematic obstruc…
math.AG2025
Derived Stratified-Microlocal Framework and Moduli Space Resolution for the Cheeger-Goresky-Macpherson Conjecture
Jiaming Luo
In this paper, We define the stratified metric -category and the middle perversity moduli stack . We construct a un…
math.AG2025
Derived Stratifications and Arithmetic Intersection Theory for Varieties with Isolated Singularities
Jiaming Luo, Shirong Li
In this paper, We develop the stratified de Rham theory on singular spaces using modern tools including derived geometry and stratified structures. This work unifies and extends th…