Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320720011> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4320720011 abstract "We deal with Perazzo 3-folds in $mathbb P^4$, i.e. hypersurfaces $X=V(f)subset mathbb P^4$ of degree $d$ defined by a homogeneous polynomial $f(x_0,x_1,x_2,u,v)=p_0(u,v)x_0+p_1(u,v)x_1+p_2(u,v)x_2+g(u,v)$, where $p_0,p_1,p_2$ are algebraically dependent but linearly independent forms of degree $d-1$ in $u,v$, and $g$ is a form in $u,v$ of degree $d$. Perazzo 3-folds have vanishing hessian and, hence, the associated graded artinian Gorenstein algebra $A_f$ fails the strong Lefschetz property. In this paper, we determine the maximum and minimum Hilbert function of $A_f$ and we prove that if $A_f$ has maximal Hilbert function it fails the weak Lefschetz property, while it satisfies the weak Lefschetz property when it has minimum Hilbert function. In addition, we classify all Perazzo 3-folds in $mathbb P^4$ such that $A_f$ has minimum Hilbert function." @default.
- W4320720011 created "2023-02-15" @default.
- W4320720011 creator A5033822101 @default.
- W4320720011 creator A5066849805 @default.
- W4320720011 creator A5069694615 @default.
- W4320720011 date "2022-06-06" @default.
- W4320720011 modified "2023-09-29" @default.
- W4320720011 title "Perazzo 3-folds and the weak Lefschetz property" @default.
- W4320720011 doi "https://doi.org/10.48550/arxiv.2206.02723" @default.
- W4320720011 hasPublicationYear "2022" @default.
- W4320720011 type Work @default.
- W4320720011 citedByCount "0" @default.
- W4320720011 crossrefType "posted-content" @default.
- W4320720011 hasAuthorship W4320720011A5033822101 @default.
- W4320720011 hasAuthorship W4320720011A5066849805 @default.
- W4320720011 hasAuthorship W4320720011A5069694615 @default.
- W4320720011 hasBestOaLocation W43207200111 @default.
- W4320720011 hasConcept C101044782 @default.
- W4320720011 hasConcept C114614502 @default.
- W4320720011 hasConcept C121332964 @default.
- W4320720011 hasConcept C134306372 @default.
- W4320720011 hasConcept C14036430 @default.
- W4320720011 hasConcept C17103678 @default.
- W4320720011 hasConcept C202444582 @default.
- W4320720011 hasConcept C203616005 @default.
- W4320720011 hasConcept C24890656 @default.
- W4320720011 hasConcept C2775997480 @default.
- W4320720011 hasConcept C28826006 @default.
- W4320720011 hasConcept C33923547 @default.
- W4320720011 hasConcept C57033185 @default.
- W4320720011 hasConcept C62799726 @default.
- W4320720011 hasConcept C66882249 @default.
- W4320720011 hasConcept C78458016 @default.
- W4320720011 hasConcept C86803240 @default.
- W4320720011 hasConcept C90119067 @default.
- W4320720011 hasConceptScore W4320720011C101044782 @default.
- W4320720011 hasConceptScore W4320720011C114614502 @default.
- W4320720011 hasConceptScore W4320720011C121332964 @default.
- W4320720011 hasConceptScore W4320720011C134306372 @default.
- W4320720011 hasConceptScore W4320720011C14036430 @default.
- W4320720011 hasConceptScore W4320720011C17103678 @default.
- W4320720011 hasConceptScore W4320720011C202444582 @default.
- W4320720011 hasConceptScore W4320720011C203616005 @default.
- W4320720011 hasConceptScore W4320720011C24890656 @default.
- W4320720011 hasConceptScore W4320720011C2775997480 @default.
- W4320720011 hasConceptScore W4320720011C28826006 @default.
- W4320720011 hasConceptScore W4320720011C33923547 @default.
- W4320720011 hasConceptScore W4320720011C57033185 @default.
- W4320720011 hasConceptScore W4320720011C62799726 @default.
- W4320720011 hasConceptScore W4320720011C66882249 @default.
- W4320720011 hasConceptScore W4320720011C78458016 @default.
- W4320720011 hasConceptScore W4320720011C86803240 @default.
- W4320720011 hasConceptScore W4320720011C90119067 @default.
- W4320720011 hasLocation W43207200111 @default.
- W4320720011 hasOpenAccess W4320720011 @default.
- W4320720011 hasPrimaryLocation W43207200111 @default.
- W4320720011 hasRelatedWork W2148350565 @default.
- W4320720011 hasRelatedWork W2263629155 @default.
- W4320720011 hasRelatedWork W2332957351 @default.
- W4320720011 hasRelatedWork W2741030450 @default.
- W4320720011 hasRelatedWork W2791685725 @default.
- W4320720011 hasRelatedWork W2793583031 @default.
- W4320720011 hasRelatedWork W2963562680 @default.
- W4320720011 hasRelatedWork W4280502295 @default.
- W4320720011 hasRelatedWork W4300091438 @default.
- W4320720011 hasRelatedWork W4307330984 @default.
- W4320720011 isParatext "false" @default.
- W4320720011 isRetracted "false" @default.
- W4320720011 workType "article" @default.