17 citations · 21 across the 5 of their papers we have counts for
6 papers
Poincaré series on good semigroup ideals
Laura Tozzo
The Poincaré series of a ring associated to a plane curve was defined by Campillo, Delgado, and Gusein-Zade. This series, defined through the value semigroup of the curve, encodes…
Inverse limits of Macaulay's inverse systems
Mathias Schulze, Laura Tozzo
Generalizing a result of Masuti and the second author, we describe inverse limits of Macaulay's inverse systems for Cohen-Macaulay factor algebras of formal power series or polynom…
A residual duality over Gorenstein rings with application to logarithmic differential forms
Mathias Schulze, Laura Tozzo
Kyoji Saito's notion of a free divisor was generalized by the first author to reduced Gorenstein spaces and by Delphine Pol to reduced Cohen-Macaulay spaces. Starting point is the…
The Structure of the Inverse System of Level -Algebras
Shreedevi K. Masuti, Laura Tozzo
Macaulay's inverse system is an effective method to construct Artinian K-algebras with additional properties like, Gorenstein, level, more generally with any socle type. Recently,…
Good subsemigroups of
Marco D'Anna, Pedro A. García-Sánchez, Vincenzo Micale +1
Value semigroups of non irreducible singular algebraic curves and their fractional ideals are submonoids of that are closed under infimums, have a conductor and fulfi…
Duality on value semigroups
Philipp Korell, Mathias Schulze, Laura Tozzo
We establish a combinatorial counterpart of the Cohen-Macaulay duality on a class of curve singularities which includes algebroid curves. For such singularities the value semigroup…