Listar por tema "Hilbert series"
Mostrando ítems 1-2 de 2
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Hilbert series of modules over positively graded polynomial rings
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 ... -
Which series are Hilbert series of graded modules over standard multigraded polynomial rings?
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, ...