58 citations · 166 across the 43 of their papers we have counts for
4 papers · 1 filter
Symbolic Rees algebras
Eloísa Grifo, Alexandra Seceleanu
We survey old and new approaches to the study of symbolic powers of ideals. Our focus is on the symbolic Rees algebra of an ideal, viewed both as a tool to investigate its symbolic…
Canonical Resolutions over Koszul Algebras
Eleonore Faber, Martina Juhnke-Kubitzke, Haydee Lindo +3
We generalize Buchsbaum and Eisenbud's resolutions for the powers of the maximal ideal of a polynomial ring to resolve powers of the homogeneous maximal ideal over graded Koszul al…
Quadratic Gorenstein algebras with many surprising properties
Jason McCullough, Alexandra Seceleanu
Let be a field of characteristic . Using the method of idealization, we show that there is a non-Koszul, quadratic, Artinian, Gorenstein, standard graded -algebra of regu…
Singular loci of reflection arrangements and the containment problem
Ben Drabkin, Alexandra Seceleanu
This paper provides insights into the role of symmetry in studying polynomial functions vanishing to high order on an algebraic variety. The varieties we study are singular loci of…