activity
20042026
most citedDeformation of Singularities and the Homology of Intersection Spaces

36 citations · 234 across the 53 of their papers we have counts for

collaborators

65 papers

math.AG2026

On the topology of fibers of complex polynomial maps

Laurentiu Maxim, John Messina

We recast known results on the cohomology of fibers of complex polynomial maps, with particular emphasis on vanishing ranges, and establish new results on the vanishing cohomology…

math.AT2025

Spectral sequences, Massey products and homology of covering spaces

Yongqiang Liu, Laurentiu Maxim, Botong Wang

We revisit the equivariant spectral sequence considered by Papadima-Suciu, and show that all its differentials are computed by higher order Massey products. As a first application,…

math.AT2025

Maximal twisted Betti numbers of complex hyperplane arrangement complements

Yongqiang Liu, Laurentiu Maxim, Botong Wang

We show that the Betti numbers of a local system on the complement of an essential complex hyperplane arrangement are maximized precisely when the local system is constant. This re…

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…

math.AG2024★ 1 cited

Weighted Ehrhart theory via equivariant toric geometry

Laurenţiu Maxim, Jörg Schürmann

We give a -theoretic and geometric interpretation for a generalized weighted Ehrhart theory of a full-dimensional lattice polytope , depending on a given homogeneous polynomi…

math.AG2024

Weighted Ehrhart theory via mixed Hodge modules on toric varieties

Laurentiu Maxim, Jörg Schürmann

We give a cohomological and geometrical interpretation for the weighted Ehrhart theory of a full-dimensional lattice polytope , with Laurent polynomial weights of geometric orig…