21 citations · 93 across the 36 of their papers we have counts for
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math.AG2011
On the syzygies and Alexander polynomials of nodal hypersurfaces
Alexandru Dimca, Gabriel Sticlaru
We give sharp lower bounds for the degree of the syzygies involving the partial derivatives of a homogeneous polynomial defining a nodal hypersurface. The result gives information…
math.AG2011★ 6 cited
Chebyshev curves, free resolutions and rational curve arrangements
Alexandru Dimca, Gabriel Sticlaru
First we construct a free resolution for the Milnor (or Jacobian) algebra of a complex projective Chebyshev plane curve $\CC_d:f=0$ of degree . In particular, this resolu…
math.AG2011
Koszul complexes and pole order filtrations
Alexandru Dimca, Gabriel Sticlaru
We study the interplay between the cohomology of the Koszul complex of the partial derivatives of a homogeneous polynomial and the pole order filtration on the cohomology o…