138 citations · 1.8k across the 93 of their papers we have counts for
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Suciu's Conjecture on hyperplane arrangements
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
We prove that the resonance of any hyperplane arrangement is separable. Using the main result from arXiv:2512.10160 this proves Suciu's conjecture on the fundamental group of every…
Twisted homology jump loci, twisted Alexander polynomials, and -invariants
Yongqiang Liu, Alexander I. Suciu
We introduce the twisted homology jump loci of a space : the jump loci for homology with coefficients in rank-one local systems, twisted by a fixed finite-dimensional representa…
The effective Chen ranks conjecture
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
Koszul modules and their associated resonance schemes are objects appearing in a variety of contexts in algebraic geometry, topology, and combinatorics. We present a proof of an ef…
Milnor fibrations of arrangements with trivial algebraic monodromy
Alexandru I. Suciu
Each complex hyperplane arrangement gives rise to a Milnor fibration of its complement. Although the Betti numbers of the Milnor fiber can be expressed in terms of the jump loc…
Reduced resonance schemes and Chen ranks
Marian Aprodu, Gavril Farkas, Claudiu Raicu +1
The resonance varieties are cohomological invariants that are studied in a variety of topological, combinatorial, and geometric contexts. We discuss their scheme structure in a gen…
Sigma-invariants and tropical varieties
Alexander I. Suciu
The Bieri-Neumann-Strebel-Renz invariants of a connected, finite-type CW-complex are the vanishing loci for Novikov-Sikorav homolog…