58 citations · 166 across the 43 of their papers we have counts for
5 papers · 1 filter
Duality for asymptotic invariants of graded families
Michael DiPasquale, Thai Thanh Nguyen, Alexandra Seceleanu
The starting point of this paper is a duality for sequences of natural numbers which, under mild hypotheses, interchanges subadditive and superadditive sequences and inverts their…
The combinatorial structure of symmetric strongly shifted ideals
Alessandra Costantini, Alexandra Seceleanu
Symmetric strongly shifted ideals are a class of monomial ideals which come equipped with an action of the symmetric group and are analogous to the well-studied class of strongly s…
Higher Lorentzian Polynomials, Higher Hessians, and the Hodge-Riemann Property for Graded Oriented Artinian Gorenstein Algebras in Codimension Two
Pedro Macias Marques, Chris McDaniel, Alexandra Seceleanu +1
A (standard graded) oriented Artinian Gorenstein algebra over the real numbers is uniquely determined by a real homogeneous polynomial called its Macaulay dual generator. We study…
Polynomial growth of Betti sequences over local rings
Luchezar L. Avramov, Alexandra Seceleanu, Zheng Yang
This is a study of the sequences of Betti numbers of finitely generated modules over a complete intersection local ring, . The subsequences with even,…
Lefschetz properties of some codimension three Artinian Gorenstein algebras
Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino +2
Codimension two Artinian algebras have the strong and weak Lefschetz properties provided the characteristic is zero or greater than the socle degree. It is open to what extent…