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Questions and conjectures on extremal Hilbert series
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
2018 (English)In: Revista de la Unión Matemática Argentina, ISSN 0041-6932, E-ISSN 1669-9637, Vol. 59, no 2, p. 415-429Article in journal (Refereed) Published
Abstract [en]

Given an ideal of forms in an algebra (polynomial ring, tensor algebra, exterior algebra, Lie algebra, bigraded polynomial ring), we consider the Hilbert series of the factor ring. We concentrate on the minimal Hilbertseries, which is achieved when the forms are generic. In the polynomial ring we also consider the opposite case of maximal series. This is mainly a survey article, but we give a lot of problems and conjectures. The only novel results concern the maximal series in the polynomial ring.

Place, publisher, year, edition, pages
2018. Vol. 59, no 2, p. 415-429
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-157097OAI: oai:DiVA.org:su-157097DiVA, id: diva2:1215706
Available from: 2018-06-08 Created: 2018-06-08 Last updated: 2018-11-28

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Fröberg, RalfLundqvist, Samuel
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