Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300522834> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W4300522834 abstract "Let $K$ be an algebraically closed field. There has been much interest in characterizing multiple structures in $P^n_K$ defined on a linear subspace of small codimension under additional assumptions (e.g. Cohen-Macaulay). We show that no such finite characterization of multiple structures is possible if one only assumes Serre's $(S_1)$ property holds. Specifically, we prove that for any positive integers $h, e ge 2$ with $(h,e) neq (2,2)$ and $p ge 5$ there is a homogeneous ideal $I$ in a polynomial ring over $K$ such that (1) the height of $I$ is $h$, (2) the Hilbert-Samuel multiplicity of $R/I$ is $e$, (3) the projective dimension of $R/I$ is at least $p$ and (4) the ideal $I$ is primary to a linear prime $(x_1,..., x_h)$. This result is in stark contrast to Manolache's characterization of Cohen-Macaulay multiple structures in codimension 2 and multiplicity at most 4 and also to Engheta's characterization of unmixed ideals of height 2 and multiplicity 2." @default.
- W4300522834 created "2022-10-03" @default.
- W4300522834 creator A5021539506 @default.
- W4300522834 creator A5027697245 @default.
- W4300522834 creator A5046150432 @default.
- W4300522834 creator A5050593391 @default.
- W4300522834 date "2013-01-17" @default.
- W4300522834 modified "2023-09-27" @default.
- W4300522834 title "Multiple Structures with Arbitrarily Large Projective Dimension on Linear Subspaces" @default.
- W4300522834 doi "https://doi.org/10.48550/arxiv.1301.4147" @default.
- W4300522834 hasPublicationYear "2013" @default.
- W4300522834 type Work @default.
- W4300522834 citedByCount "0" @default.
- W4300522834 crossrefType "posted-content" @default.
- W4300522834 hasAuthorship W4300522834A5021539506 @default.
- W4300522834 hasAuthorship W4300522834A5027697245 @default.
- W4300522834 hasAuthorship W4300522834A5046150432 @default.
- W4300522834 hasAuthorship W4300522834A5050593391 @default.
- W4300522834 hasBestOaLocation W43005228341 @default.
- W4300522834 hasConcept C111472728 @default.
- W4300522834 hasConcept C114614502 @default.
- W4300522834 hasConcept C118615104 @default.
- W4300522834 hasConcept C120665830 @default.
- W4300522834 hasConcept C121332964 @default.
- W4300522834 hasConcept C12362212 @default.
- W4300522834 hasConcept C134306372 @default.
- W4300522834 hasConcept C138885662 @default.
- W4300522834 hasConcept C142109727 @default.
- W4300522834 hasConcept C156004811 @default.
- W4300522834 hasConcept C177846678 @default.
- W4300522834 hasConcept C178790620 @default.
- W4300522834 hasConcept C185592680 @default.
- W4300522834 hasConcept C202444582 @default.
- W4300522834 hasConcept C203701370 @default.
- W4300522834 hasConcept C2776639384 @default.
- W4300522834 hasConcept C2780378348 @default.
- W4300522834 hasConcept C2780841128 @default.
- W4300522834 hasConcept C32834561 @default.
- W4300522834 hasConcept C33676613 @default.
- W4300522834 hasConcept C33923547 @default.
- W4300522834 hasConcept C62139920 @default.
- W4300522834 hasConcept C75280867 @default.
- W4300522834 hasConcept C83979697 @default.
- W4300522834 hasConcept C90119067 @default.
- W4300522834 hasConcept C9485509 @default.
- W4300522834 hasConceptScore W4300522834C111472728 @default.
- W4300522834 hasConceptScore W4300522834C114614502 @default.
- W4300522834 hasConceptScore W4300522834C118615104 @default.
- W4300522834 hasConceptScore W4300522834C120665830 @default.
- W4300522834 hasConceptScore W4300522834C121332964 @default.
- W4300522834 hasConceptScore W4300522834C12362212 @default.
- W4300522834 hasConceptScore W4300522834C134306372 @default.
- W4300522834 hasConceptScore W4300522834C138885662 @default.
- W4300522834 hasConceptScore W4300522834C142109727 @default.
- W4300522834 hasConceptScore W4300522834C156004811 @default.
- W4300522834 hasConceptScore W4300522834C177846678 @default.
- W4300522834 hasConceptScore W4300522834C178790620 @default.
- W4300522834 hasConceptScore W4300522834C185592680 @default.
- W4300522834 hasConceptScore W4300522834C202444582 @default.
- W4300522834 hasConceptScore W4300522834C203701370 @default.
- W4300522834 hasConceptScore W4300522834C2776639384 @default.
- W4300522834 hasConceptScore W4300522834C2780378348 @default.
- W4300522834 hasConceptScore W4300522834C2780841128 @default.
- W4300522834 hasConceptScore W4300522834C32834561 @default.
- W4300522834 hasConceptScore W4300522834C33676613 @default.
- W4300522834 hasConceptScore W4300522834C33923547 @default.
- W4300522834 hasConceptScore W4300522834C62139920 @default.
- W4300522834 hasConceptScore W4300522834C75280867 @default.
- W4300522834 hasConceptScore W4300522834C83979697 @default.
- W4300522834 hasConceptScore W4300522834C90119067 @default.
- W4300522834 hasConceptScore W4300522834C9485509 @default.
- W4300522834 hasLocation W43005228341 @default.
- W4300522834 hasOpenAccess W4300522834 @default.
- W4300522834 hasPrimaryLocation W43005228341 @default.
- W4300522834 hasRelatedWork W1490804773 @default.
- W4300522834 hasRelatedWork W1756493939 @default.
- W4300522834 hasRelatedWork W1990686548 @default.
- W4300522834 hasRelatedWork W1997119217 @default.
- W4300522834 hasRelatedWork W2019289750 @default.
- W4300522834 hasRelatedWork W2105325102 @default.
- W4300522834 hasRelatedWork W2439115288 @default.
- W4300522834 hasRelatedWork W2956897918 @default.
- W4300522834 hasRelatedWork W2973344413 @default.
- W4300522834 hasRelatedWork W4300522834 @default.
- W4300522834 isParatext "false" @default.
- W4300522834 isRetracted "false" @default.
- W4300522834 workType "article" @default.