• Degree and algebraic properties of lattice and matrix ideals 

    O'Carroll, Liam; Planas Vilanova, Francesc d'Assís; Villarreal Rodríguez, Rafael Heraclio (2014-01-01)
    Article
    Accés obert
    We study the degree of nonhomogeneous lattice ideals over arbitrary fields, and give formulas to compute the degree in terms of the torsion of certain factor groups of Z(s) and in terms of relative volumes of lattice ...
  • Ideals of Herzog-Northcott type 

    Planas Vilanova, Francesc d'Assís; O'Carroll, Liam (2011-01-19)
    Article
    Accés obert
    This paper takes a new look at ideals generated by 2×2 minors of 2×3 matrices whose entries are powers of three elements not necessarily forming a regular sequence. A special case of this is the ideals determining monomial ...
  • Noncomplete intersection prime ideals in dimension 3 

    Goto, Shiro; O'Carroll, Liam; Planas Vilanova, Francesc d'Assís (2015-06-01)
    Article
    Accés obert
    We describe prime ideals of height 2 minimally generated by three elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related to a conjecture of Y. Shimoda and to a ...