FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3211077712> ?p ?o ?g. }

• W3211077712 abstract "We study the deformation theory of the Stanley-Reisner rings associated to cluster complexes for skew-symmetrizable cluster algebras of geometric and finite cluster type. In particular, we show that in the skew-symmetric case, these cluster complexes are unobstructed, generalizing a result of Ilten and Christophersen in the $A_n$ case. We also study the connection between cluster algebras with universal coefficients and cluster complexes. We show that for a full rank positively graded cluster algebra $mathcal{A}$ of geometric and finite cluster type, the cluster algebra $mathcal{A}^{mathrm{univ}}$ with universal coefficients may be recovered as the universal family over a partial closure of a torus orbit in a multigraded Hilbert scheme. Likewise, we show that under suitable hypotheses, the cluster algebra $mathcal{A}^{mathrm{univ}}$ may be recovered as the coordinate ring for a certain torus-invariant semiuniversal deformation of the Stanley-Reisner ring of the cluster complex. We apply these results to show that for any cluster algebra $mathcal{A}$ of geometric and finite cluster type, $mathcal{A}$ is Gorenstein, and $mathcal{A}$ is unobstructed if it is skew-symmetric. Moreover, if $mathcal{A}$ has enough frozen variables then it has no non-trivial torus-invariant deformations. We also study the Grobner theory of the ideal of relations among cluster and frozen variables of $mathcal{A}$. As a byproduct we generalize previous results in this setting obtained by Bossinger, Mohammadi and N'ajera Ch'avez for Grassmannians of planes and $text{Gr}(3,6)$." @default.
• W3211077712 created "2021-11-08" @default.
• W3211077712 creator A5045420932 @default.
• W3211077712 creator A5063481878 @default.
• W3211077712 creator A5085385072 @default.
• W3211077712 date "2021-11-04" @default.
• W3211077712 modified "2023-09-27" @default.
• W3211077712 title "Deformation Theory for Finite Cluster Complexes" @default.
• W3211077712 cites W1016140387 @default.
• W3211077712 cites W1523097020 @default.
• W3211077712 cites W1832682720 @default.
• W3211077712 cites W1968149878 @default.
• W3211077712 cites W1987464141 @default.
• W3211077712 cites W1988329201 @default.
• W3211077712 cites W2009096819 @default.
• W3211077712 cites W2022006382 @default.
• W3211077712 cites W2030944112 @default.
• W3211077712 cites W2044675133 @default.
• W3211077712 cites W2073837913 @default.
• W3211077712 cites W2079778585 @default.
• W3211077712 cites W2082864593 @default.
• W3211077712 cites W2088852129 @default.
• W3211077712 cites W2145786765 @default.
• W3211077712 cites W2512563603 @default.
• W3211077712 cites W2528914357 @default.
• W3211077712 cites W2916768231 @default.
• W3211077712 cites W2963050571 @default.
• W3211077712 cites W2963051775 @default.
• W3211077712 cites W2963156240 @default.
• W3211077712 cites W2963260228 @default.
• W3211077712 cites W3104223952 @default.
• W3211077712 cites W3109980018 @default.
• W3211077712 cites W3176397762 @default.
• W3211077712 cites W3191988427 @default.
• W3211077712 hasPublicationYear "2021" @default.
• W3211077712 type Work @default.
• W3211077712 sameAs 3211077712 @default.
• W3211077712 citedByCount "0" @default.
• W3211077712 crossrefType "posted-content" @default.
• W3211077712 hasAuthorship W3211077712A5045420932 @default.
• W3211077712 hasAuthorship W3211077712A5063481878 @default.
• W3211077712 hasAuthorship W3211077712A5085385072 @default.
• W3211077712 hasConcept C114614502 @default.
• W3211077712 hasConcept C121332964 @default.
• W3211077712 hasConcept C136119220 @default.
• W3211077712 hasConcept C164866538 @default.
• W3211077712 hasConcept C165879259 @default.
• W3211077712 hasConcept C185579658 @default.
• W3211077712 hasConcept C18903297 @default.
• W3211077712 hasConcept C190470478 @default.
• W3211077712 hasConcept C199360897 @default.
• W3211077712 hasConcept C202444582 @default.
• W3211077712 hasConcept C2524010 @default.
• W3211077712 hasConcept C2777299769 @default.
• W3211077712 hasConcept C33923547 @default.
• W3211077712 hasConcept C37914503 @default.
• W3211077712 hasConcept C41008148 @default.
• W3211077712 hasConcept C51329190 @default.
• W3211077712 hasConcept C62520636 @default.
• W3211077712 hasConcept C63036529 @default.
• W3211077712 hasConcept C86803240 @default.
• W3211077712 hasConcept C92757383 @default.
• W3211077712 hasConcept C9767117 @default.
• W3211077712 hasConceptScore W3211077712C114614502 @default.
• W3211077712 hasConceptScore W3211077712C121332964 @default.
• W3211077712 hasConceptScore W3211077712C136119220 @default.
• W3211077712 hasConceptScore W3211077712C164866538 @default.
• W3211077712 hasConceptScore W3211077712C165879259 @default.
• W3211077712 hasConceptScore W3211077712C185579658 @default.
• W3211077712 hasConceptScore W3211077712C18903297 @default.
• W3211077712 hasConceptScore W3211077712C190470478 @default.
• W3211077712 hasConceptScore W3211077712C199360897 @default.
• W3211077712 hasConceptScore W3211077712C202444582 @default.
• W3211077712 hasConceptScore W3211077712C2524010 @default.
• W3211077712 hasConceptScore W3211077712C2777299769 @default.
• W3211077712 hasConceptScore W3211077712C33923547 @default.
• W3211077712 hasConceptScore W3211077712C37914503 @default.
• W3211077712 hasConceptScore W3211077712C41008148 @default.
• W3211077712 hasConceptScore W3211077712C51329190 @default.
• W3211077712 hasConceptScore W3211077712C62520636 @default.
• W3211077712 hasConceptScore W3211077712C63036529 @default.
• W3211077712 hasConceptScore W3211077712C86803240 @default.
• W3211077712 hasConceptScore W3211077712C92757383 @default.
• W3211077712 hasConceptScore W3211077712C9767117 @default.
• W3211077712 hasLocation W32110777121 @default.
• W3211077712 hasOpenAccess W3211077712 @default.
• W3211077712 hasPrimaryLocation W32110777121 @default.
• W3211077712 hasRelatedWork W1481066234 @default.
• W3211077712 hasRelatedWork W1561448999 @default.
• W3211077712 hasRelatedWork W1621037107 @default.
• W3211077712 hasRelatedWork W1864466945 @default.
• W3211077712 hasRelatedWork W1994673315 @default.
• W3211077712 hasRelatedWork W2022270290 @default.
• W3211077712 hasRelatedWork W2060732028 @default.
• W3211077712 hasRelatedWork W2298191437 @default.
• W3211077712 hasRelatedWork W2778899474 @default.
• W3211077712 hasRelatedWork W2784514213 @default.
• W3211077712 hasRelatedWork W2804188714 @default.
• W3211077712 hasRelatedWork W2949089995 @default.
• W3211077712 hasRelatedWork W2950205072 @default.

• next