14 citations · 19 across the 12 of their papers we have counts for
15 papers
The weak Lefschetz property of whiskered graphs
Susan M. Cooper, Sara Faridi, Thiago Holleben +2
We consider Artinian level algebras arising from the whiskering of a graph. Employing a result by Dao-Nair we show that multiplication by a general linear form has maximal rank in…
Simplicial Resolutions of Powers of Square-free Monomial Ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
The Taylor resolution is almost never minimal for powers of monomial ideals, even in the square-free case. In this paper we introduce a smaller resolution for each power of any squ…
Powers of graphs & applications to resolutions of powers of monomial ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
This paper is concerned with the question of whether geometric structures such as cell complexes can be used to simultaneously describe the minimal free resolutions of all powers o…
Simplicial resolutions for the second power of square-free monomial ideals
Susan M. Cooper, Sabine El Khoury, Sara Faridi +4
Given a square-free monomial ideal , we define a simplicial complex labeled by the generators of which supports a free resolution of . As a consequence, we obtain (sh…
Morse resolutions of powers of square-free monomial ideals of projective dimension one
Susan Cooper, Sabine El Khoury, Sara Faridi +4
Let be a square-free monomial ideal of projective dimension one. Starting with the Taylor complex on the generators of , we use Discrete Morse theory to describe a CW…
Generalized minimum distance functions and algebraic invariants of Geramita ideals
Susan M. Cooper, Alexandra Seceleanu, Stefan O. Tohaneanu +2
Motivated by notions from coding theory, we study the generalized minimum distance (GMD) function of a graded ideal in a polynomial ring over an arbitrary field usin…
Symbolic powers of codimension two Cohen-Macaulay ideals
Susan Cooper, Giuliana Fatabbi, Elena Guardo +6
Let be the saturated homogeneous ideal defining a codimension two arithmetically Cohen-Macaulay scheme , and let denote its -th symbo…
The Waldschmidt constant for squarefree monomial ideals
Cristiano Bocci, Susan Cooper, Elena Guardo +6
Given a squarefree monomial ideal , we show that , the Waldschmidt constant of , can be expressed as the optimal solution to a li…
The Alpha Problem & Line Count Configurations
Susan M. Cooper, Stephen G. Hartke
Motivated by the work of Chudnovsky and the Eisenbud-Mazur Conjecture on evolutions, Harbourne and Huneke give a series of conjectures that relate symbolic and regular powers of id…
Regina Lectures on Fat Points
Susan Cooper, Brian Harbourne
These notes are a record of lectures given in the Workshop on Connections Between Algebra and Geometry at the University of Regina, May 29--June 1, 2012. The lectures were meant as…
Symbolic Powers of Monomial Ideals
Susan M. Cooper, Robert J. D. Embree, Huy Tài Hà +1
We investigate symbolic and regular powers of monomial ideals. For a square-free monomial ideal in we show is a subset of $M^{(t-1)(e-…
Containment results for ideals of various configurations of points in P^N
Cristiano Bocci, Susan Cooper, Brian Harbourne
Guided by evidence coming from a few key examples and attempting to unify previous work of Chudnovsky, Esnault-Viehweg, Eisenbud-Mazur, Ein-Lazarsfeld-Smith, Hochster-Huneke and Bo…
Recent developments and open problems in linear series
Thomas Bauer, Cristiano Bocci, Susan Cooper +11
In the week 3--9, October 2010, the Mathematisches Forschungsinstitut at Oberwolfach hosted a mini workshop Linear Series on Algebraic Varieties. These notes contain a variety of i…
Multiplicities of semidualizing modules
Susan M. Cooper, Sean Sather-Wagstaff
A finitely generated module C over a commutative noetherian ring R is semidualizing if Hom_R(C,C) \cong R and Ext^i_R(C,C) = 0 for all i \geq 1. For certain local Cohen-Macaulay ri…
Combinatorial bounds on Hilbert functions of fat points in projective space
Susan Cooper, Brian Harbourne, Zach Teitler
We study Hilbert functions of certain non-reduced schemes A supported at finite sets of points in projective space, in particular, fat point schemes. We give combinatorially define…