138 citations · 1.8k across the 93 of their papers we have counts for
6 papers · 1 filter
Moment-angle complexes, monomial ideals, and Massey products
Graham Denham, Alexander I. Suciu
Associated to every finite simplicial complex K there is a "moment-angle" finite CW-complex, Z_K; if K is a triangulation of a sphere, Z_K is a smooth, compact manifold. Building o…
Formality, Alexander invariants, and a question of Serre
Alexandru Dimca, Stefan Papadima, Alexander I. Suciu
We elucidate the key role played by formality in the theory of characteristic and resonance varieties. We show that the I-adic completion of the Alexander invariant of a 1-formal g…
Complex hyperplane arrangements
Michael Falk, Alexander I. Suciu
This is a slightly revised version (with references added in) of a survey article which appeared in the Spring 2005 edition of the MSRI newsletter, the Emissary. The article descri…
Boundary manifolds of projective hypersurfaces
Daniel C. Cohen, Alexander I. Suciu
We study the topology of the boundary manifold of a regular neighborhood of a complex projective hypersurface. We show that, under certain Hodge theoretic conditions, the cohomolog…
Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence
Henry K. Schenck, Alexander I. Suciu
If \A is a complex hyperplane arrangement, with complement X, we show that the Chen ranks of G=π_1(X) are equal to the graded Betti numbers of the linear strand in a minimal, free…
On the homotopy Lie algebra of an arrangement
Graham Denham, Alexander I. Suciu
Let A be a graded-commutative, connected k-algebra generated in degree 1. The homotopy Lie algebra g_A is defined to be the Lie algebra of primitives of the Yoneda algebra, Ext_A(k…