• openAccess   Hilbert series of modules over positively graded polynomial rings 

      Katthan, Lukas; Moyano-Fernández, Julio José; Uliczka, Jan Elsevier (2016-08)
      In this note, we give examples of formal power series satisfying certain conditions that cannot be realized as Hilbert series of finitely generated modules. This answers to the negative a question raised in a recent article ...
    • openAccess   Which series are Hilbert series of graded modules over standard multigraded polynomial rings? 

      Katthän, Lukas; Moyano-Fernández, Julio José; Uliczka, Jan Wiley (2020)
      Consider a polynomial ring 𝑅� with the ℤ𝑛�-grading where the degree of each variableis a standard basis vector. In other words, 𝑅� is the homogeneous coordinate ring ofa product of 𝑛� projective spaces. In this setting, ...