5 papers
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…
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,…
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…
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…