3 papers
math.DG2026
Triviality of -homology classes of Euler characteristic operators of stratified pseudomanifolds
Mohammadali Aligholi
We show that the -homology classes of the Euler characteristic operators associated with the minimal and maximal ideal boundary conditions of the de Rham differential on the reg…
math.AG2026
On the conjectural Hodge index theorem for finite quotient spaces of singular varieties
Mohammadali Aligholi
We study the conjectural characteristic class analogue of the Hodge index theorem for singular complex algebraic varieties, formulated by Brasselet-Schürmann-Yokura which expresses…
math.AG2025
Around a class version of the Hodge index theorem for singular varieties
Mohammadali Aligholi, Laurentiu Maxim, Joerg Schuermann
We give an overview of recent developments around a characteristic class version of the Hodge index theorem for singular complex algebraic varieties. This was formulated by Brassel…