4 papers · 1 filter
On the topology of fibers of complex polynomial maps
Laurentiu Maxim, John Messina
We survey 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…
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…
Morse numbers of complex polynomials
LaurenÅ£iu Maxim, Mihai TibÄr
To a complex polynomial function with arbitrary singularities we associate the number of Morse points in a general linear Morsification . We produce computa…
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…