Matches in SemOpenAlex for { <https://semopenalex.org/work/W1489871411> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W1489871411 abstract "We consider $O$-sequences that occur for arithmetically Cohen-Macaulay (ACM) schemes $X$ of codimension three in ${pp}^n$. These are Hilbert functions $varphi$ of Artinian algebras that are quotients of the coordinate ring of $X$ by a linear system of parameters. Using suitable decompositions of $varphi$, we determine the minimal number of generators possible in some degree $c$ for the defining ideal of any such ACM scheme having the given $O$-sequence. We apply this result to construct Artinian Gorenstein $O$-sequences $varphi$ of codimension $3$ such that the poset of all graded Betti sequences of the Artinian Gorenstein algebras with Hilbert function $varphi$ admits more than one minimal element. Finally, for all $3$-codimensional complete intersection $O$-sequences we obtain conditions under which the corresponding poset of graded Betti sequences has more than one minimal element." @default.
- W1489871411 created "2016-06-24" @default.
- W1489871411 creator A5019248018 @default.
- W1489871411 creator A5074800695 @default.
- W1489871411 date "2005-04-01" @default.
- W1489871411 modified "2023-10-03" @default.
- W1489871411 title "Looking for minimal graded Betti numbers" @default.
- W1489871411 doi "https://doi.org/10.1215/ijm/1258138028" @default.
- W1489871411 hasPublicationYear "2005" @default.
- W1489871411 type Work @default.
- W1489871411 sameAs 1489871411 @default.
- W1489871411 citedByCount "3" @default.
- W1489871411 crossrefType "journal-article" @default.
- W1489871411 hasAuthorship W1489871411A5019248018 @default.
- W1489871411 hasAuthorship W1489871411A5074800695 @default.
- W1489871411 hasBestOaLocation W14898714111 @default.
- W1489871411 hasConcept C111472728 @default.
- W1489871411 hasConcept C114614502 @default.
- W1489871411 hasConcept C118615104 @default.
- W1489871411 hasConcept C127413603 @default.
- W1489871411 hasConcept C129621563 @default.
- W1489871411 hasConcept C138885662 @default.
- W1489871411 hasConcept C146978453 @default.
- W1489871411 hasConcept C150279058 @default.
- W1489871411 hasConcept C180645754 @default.
- W1489871411 hasConcept C202444582 @default.
- W1489871411 hasConcept C2776639384 @default.
- W1489871411 hasConcept C2778112365 @default.
- W1489871411 hasConcept C33923547 @default.
- W1489871411 hasConcept C37253 @default.
- W1489871411 hasConcept C54355233 @default.
- W1489871411 hasConcept C57033185 @default.
- W1489871411 hasConcept C62799726 @default.
- W1489871411 hasConcept C64543145 @default.
- W1489871411 hasConcept C83979697 @default.
- W1489871411 hasConcept C86803240 @default.
- W1489871411 hasConceptScore W1489871411C111472728 @default.
- W1489871411 hasConceptScore W1489871411C114614502 @default.
- W1489871411 hasConceptScore W1489871411C118615104 @default.
- W1489871411 hasConceptScore W1489871411C127413603 @default.
- W1489871411 hasConceptScore W1489871411C129621563 @default.
- W1489871411 hasConceptScore W1489871411C138885662 @default.
- W1489871411 hasConceptScore W1489871411C146978453 @default.
- W1489871411 hasConceptScore W1489871411C150279058 @default.
- W1489871411 hasConceptScore W1489871411C180645754 @default.
- W1489871411 hasConceptScore W1489871411C202444582 @default.
- W1489871411 hasConceptScore W1489871411C2776639384 @default.
- W1489871411 hasConceptScore W1489871411C2778112365 @default.
- W1489871411 hasConceptScore W1489871411C33923547 @default.
- W1489871411 hasConceptScore W1489871411C37253 @default.
- W1489871411 hasConceptScore W1489871411C54355233 @default.
- W1489871411 hasConceptScore W1489871411C57033185 @default.
- W1489871411 hasConceptScore W1489871411C62799726 @default.
- W1489871411 hasConceptScore W1489871411C64543145 @default.
- W1489871411 hasConceptScore W1489871411C83979697 @default.
- W1489871411 hasConceptScore W1489871411C86803240 @default.
- W1489871411 hasIssue "2" @default.
- W1489871411 hasLocation W14898714111 @default.
- W1489871411 hasOpenAccess W1489871411 @default.
- W1489871411 hasPrimaryLocation W14898714111 @default.
- W1489871411 hasRelatedWork W1489871411 @default.
- W1489871411 hasRelatedWork W1530302463 @default.
- W1489871411 hasRelatedWork W1993135788 @default.
- W1489871411 hasRelatedWork W1993233213 @default.
- W1489871411 hasRelatedWork W2044219908 @default.
- W1489871411 hasRelatedWork W2152867595 @default.
- W1489871411 hasRelatedWork W2333595374 @default.
- W1489871411 hasRelatedWork W2953174328 @default.
- W1489871411 hasRelatedWork W4300901382 @default.
- W1489871411 hasRelatedWork W4322760869 @default.
- W1489871411 hasVolume "49" @default.
- W1489871411 isParatext "false" @default.
- W1489871411 isRetracted "false" @default.
- W1489871411 magId "1489871411" @default.
- W1489871411 workType "article" @default.