The Weak Lefschetz Property and powers of linear forms in K[x,y,z]

Hal Schenck, Alexandra Seceleanu

Multiple Structures with Arbitrarily Large Projective Dimension on Linear Subspaces

Craig Huneke, Paolo Mantero, Jason McCullough +1

Implicitization of tensor product surfaces via virtual projective resolutions

Eliana Duarte, Alexandra Seceleanu

The paper presents a method to compute the implicit equations of tensor product surfaces in three‑dimensional projective space by exploiting the syzygies of the base‑point locus an…

Resurgences for ideals of special point configurations in ${\bf P}^N$ coming from hyperplane arrangements

Marcin Dumnicki, Brian Harbourne, Uwe Nagel +3

Determinants of incidence and Hessian matrices arising from the vector space lattice

Saeed Nasseh, Alexandra Seceleanu, Junzo Watanabe

Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property

Brian Harbourne, Hal Schenck, Alexandra Seceleanu

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

Craig Huneke, Paolo Mantero, Jason McCullough +1

Containment Counterexamples for ideals of various configurations of points in ${\bf P}^N$

Brian Harbourne, Alexandra Seceleanu

The Waldschmidt constant for squarefree monomial ideals

Cristiano Bocci, Susan Cooper, Elena Guardo +6

Ideals with Larger Projective Dimension and Regularity

Jesse Beder, Jason McCullough, Luis Nunez-Betancourt +3

Ordinary and symbolic Rees algebras for ideals of Fermat point configurations

Uwe Nagel, Alexandra Seceleanu

Frieze varieties : A characterization of the finite-tame-wild trichotomy for acyclic quivers

Kyungyong Lee, Li Li, Matthew Mills +2

A Tight Bound on the Projective Dimension of Four Quadrics

Craig Huneke, Paolo Mantero, Jason McCullough +1

Negative curves on symmetric blowups of the projective plane, resurgences and Waldschmidt constants

Thomas Bauer, Sandra Di Rocco, Brian Harbourne +3

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

Alexandra Seceleanu

Syzygies and singularities of tensor product surfaces of bidegree (2,1)

Hal Schenck, Alexandra Seceleanu, Javid Validashti

Syzygy Theorems via Comparison of Order Ideals on a Hypersurface

Phillip A. Griffith, Alexandra Seceleanu

The projective dimension of codimension two algebra presented by quadrics

Craig Huneke, Paolo Mantero, Jason McCullough +1