Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297685232> ?p ?o ?g. }
Showing items 1 to 63 of
63
with 100 items per page.
- W4297685232 abstract "Building on work of Brandt and Terao in their study of $k$-formality, we introduce a co-chain complex associated to a multi-arrangement and prove that its cohomologies determine freeness of the associated module of multi-derivations. This provides a new homological method for determining freeness of arrangements and multi-arrangements. We work out many applications of this homological method. For instance, we prove that if a multi-arrangement is free then the underlying arrangement is $k$-formal for all $kge 2$. We also use this method to completely characterize freeness of certain families of multi-arrangements in moduli, showcasing how the geometry of multi-arrangements with the same intersection lattice may have considerable impact on freeness. New counter-examples to Orlik's conjecture also arise in connection to this latter analysis." @default.
- W4297685232 created "2022-09-30" @default.
- W4297685232 creator A5087962118 @default.
- W4297685232 date "2018-06-13" @default.
- W4297685232 modified "2023-10-18" @default.
- W4297685232 title "A homological characterization for freeness of multi-arrangements" @default.
- W4297685232 doi "https://doi.org/10.48550/arxiv.1806.05295" @default.
- W4297685232 hasPublicationYear "2018" @default.
- W4297685232 type Work @default.
- W4297685232 citedByCount "0" @default.
- W4297685232 crossrefType "posted-content" @default.
- W4297685232 hasAuthorship W4297685232A5087962118 @default.
- W4297685232 hasBestOaLocation W42976852321 @default.
- W4297685232 hasConcept C120665830 @default.
- W4297685232 hasConcept C121332964 @default.
- W4297685232 hasConcept C127413603 @default.
- W4297685232 hasConcept C13355873 @default.
- W4297685232 hasConcept C136119220 @default.
- W4297685232 hasConcept C138885662 @default.
- W4297685232 hasConcept C146978453 @default.
- W4297685232 hasConcept C202444582 @default.
- W4297685232 hasConcept C24890656 @default.
- W4297685232 hasConcept C2524010 @default.
- W4297685232 hasConcept C2777159308 @default.
- W4297685232 hasConcept C2780841128 @default.
- W4297685232 hasConcept C2780990831 @default.
- W4297685232 hasConcept C2781204021 @default.
- W4297685232 hasConcept C33923547 @default.
- W4297685232 hasConcept C41895202 @default.
- W4297685232 hasConcept C64543145 @default.
- W4297685232 hasConceptScore W4297685232C120665830 @default.
- W4297685232 hasConceptScore W4297685232C121332964 @default.
- W4297685232 hasConceptScore W4297685232C127413603 @default.
- W4297685232 hasConceptScore W4297685232C13355873 @default.
- W4297685232 hasConceptScore W4297685232C136119220 @default.
- W4297685232 hasConceptScore W4297685232C138885662 @default.
- W4297685232 hasConceptScore W4297685232C146978453 @default.
- W4297685232 hasConceptScore W4297685232C202444582 @default.
- W4297685232 hasConceptScore W4297685232C24890656 @default.
- W4297685232 hasConceptScore W4297685232C2524010 @default.
- W4297685232 hasConceptScore W4297685232C2777159308 @default.
- W4297685232 hasConceptScore W4297685232C2780841128 @default.
- W4297685232 hasConceptScore W4297685232C2780990831 @default.
- W4297685232 hasConceptScore W4297685232C2781204021 @default.
- W4297685232 hasConceptScore W4297685232C33923547 @default.
- W4297685232 hasConceptScore W4297685232C41895202 @default.
- W4297685232 hasConceptScore W4297685232C64543145 @default.
- W4297685232 hasLocation W42976852321 @default.
- W4297685232 hasOpenAccess W4297685232 @default.
- W4297685232 hasPrimaryLocation W42976852321 @default.
- W4297685232 hasRelatedWork W2086372283 @default.
- W4297685232 hasRelatedWork W2606009334 @default.
- W4297685232 hasRelatedWork W2794076368 @default.
- W4297685232 hasRelatedWork W2897153210 @default.
- W4297685232 hasRelatedWork W2976174652 @default.
- W4297685232 hasRelatedWork W3026358768 @default.
- W4297685232 hasRelatedWork W3106181326 @default.
- W4297685232 hasRelatedWork W4245947317 @default.
- W4297685232 hasRelatedWork W4321277344 @default.
- W4297685232 hasRelatedWork W60556186 @default.
- W4297685232 isParatext "false" @default.
- W4297685232 isRetracted "false" @default.
- W4297685232 workType "article" @default.