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  • Boij, Mats,1969-KTH,Matematik (Inst.) (author)

Components of the space parametrizing graded Gorenstein Artin algebras with a given Hilbert function

  • Article/chapterEnglish1999

Publisher, publication year, extent ...

  • Mathematical Sciences Publishers,1999
  • printrdacarrier

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  • LIBRIS-ID:oai:DiVA.org:kth-291880
  • https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-291880URI
  • https://doi.org/10.2140/pjm.1999.187.1DOI

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  • Language:English
  • Summary in:English

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  • Subject category:ref swepub-contenttype
  • Subject category:art swepub-publicationtype

Notes

  • QCR 20210324
  • We give geometric constructions of families of graded Gorenstein Artin algebras, some of which span a component of the space Gor(T) parametrizing Gorenstein Artin algebras with a given Hilbert function T. This gives a lot of examples where Gor(T) is reducible. We also show that the Hilbert function of a codimension four Gorenstein Artin algebra can have an arbitrarily long constant part without having the weak Lefschetz property.

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  • KTHMatematik (Inst.) (creator_code:org_t)

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  • In:Pacific Journal of Mathematics: Mathematical Sciences Publishers187:1, s. 1-110030-87301945-5844

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