Which series are Hilbert series of graded modules over standard multigraded polynomial rings?
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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INVESTIGACIONMetadades
Títol
Which series are Hilbert series of graded modules over standard multigraded polynomial rings?Data de publicació
2020Editor
WileyISSN
0025-584X; 1522-2616Cita bibliogràfica
KATTHÄN, Lukas; MOYANO‐FERNÁNDEZ, Julio José; ULICZKA, Jan. Which series are Hilbert series of graded modules over standard multigraded polynomial rings?. Mathematische Nachrichten, 2020.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://onlinelibrary.wiley.com/doi/10.1002/mana.201800436Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
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 ... [+]
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, we characterize the formal Laurentseries which arise as Hilbert series of finitely generated 𝑅�-modules. We also providenecessary conditions for a formal Laurent series to be the Hilbert series of a finitelygenerated module with a given dept h. In the bigraded case (corresponding to theproduct of two projective spaces), we completely classify the Hilbert series of finitelygenerated modules of positive depth. [-]
Publicat a
Mathematische Nachrichten. 2020; 293 :129–146.Proyecto de investigación
GRK1916, MTM2015‐65764‐C3‐2‐P, PGC2018‐096446‐B‐C22, MTM2016‐81735‐REDT, MTM2016‐81932‐REDT, P1‐1B2015‐02, UJI‐B2018‐10Drets d'accés
© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
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