A. Seceleanu

activity

20092026

most citedResurgences for ideals of special point configurations in

P^{N}

coming from hyperplane arrangements

58 citations · 166 across the 43 of their papers we have counts for

collaborators

Showing 2014 · math.ACShow all

3 papers · 2 filters

math.AC2014

A homological criterion for the containment between symbolic and ordinary powers for some ideals of points in $P^{2}$

Alexandra Seceleanu

We establish a criterion for the (failure of) the containment $I^{(m)} \subset I^{r}$ for 3-generated ideals $I$ defining reduced sets of points in $P^{2}$ . Our criterion arise…

math.AC2014

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…

math.AC2014

A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property

Craig Huneke, Paolo Mantero, Jason McCullough +1

Let $R$ be a polynomial ring over a field. We prove an upper bound for the multiplicity of $R / I$ when $I$ is a homogeneous ideal of the form $I = J + (F)$ , where $J$ is a Cohen-Macaula…

A homological criterion for the containment between symbolic and ordinary powers for some ideals of points in P2

A Tight Bound on the Projective Dimension of Four Quadrics

A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property

A homological criterion for the containment between symbolic and ordinary powers for some ideals of points in $P^{2}$