58 citations · 166 across the 43 of their papers we have counts for
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A homological criterion for the containment between symbolic and ordinary powers for some ideals of points in
Alexandra Seceleanu
We establish a criterion for the (failure of) the containment for 3-generated ideals defining reduced sets of points in . Our criterion arise…
Determinants of incidence and Hessian matrices arising from the vector space lattice
Saeed Nasseh, Alexandra Seceleanu, Junzo Watanabe
Let be the lattice of subspaces of the -dimensional vector space over the finite field and let be the g…
Resurgences for ideals of special point configurations in coming from hyperplane arrangements
Marcin Dumnicki, Brian Harbourne, Uwe Nagel +3
Symbolic powers of ideals have attracted interest in commutative algebra and algebraic geometry for many years, with a notable recent focus on containment relations between symboli…
A Tight Bound on the Projective Dimension of Four Quadrics
Craig Huneke, Paolo Mantero, Jason McCullough +1
Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is tight…
A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property
Craig Huneke, Paolo Mantero, Jason McCullough +1
Let be a polynomial ring over a field. We prove an upper bound for the multiplicity of when is a homogeneous ideal of the form , where is a Cohen-Macaula…