Matches in SemOpenAlex for { <https://semopenalex.org/work/W2759401340> ?p ?o ?g. }
Showing items 1 to 82 of
82
with 100 items per page.
- W2759401340 abstract "We study the family $Omega^1(-1^s)$ of rational 1--forms on the Riemann sphere, having exactly $-s leq -2$ simple poles. Three equivalent $(2s-1)$--dimensional complex atlases on $Omega^1(-1^s)$, using coefficients, zeros--poles and residues--poles of the 1--forms, are recognized. A rational 1--form is isochronous when all their residues are purely imaginary. We prove that the subfamily $mathcal{RI}Omega^1(-1^s)$ of isochronous 1--forms is a $(3s-1)$--dimensional real analytic submanifold in the complex manifold $Omega^1(-1^s)$. The complex Lie group $PSL(2,mathbb{C})$ acts holomorphically on $Omega^1(-1^s)$. For $s geq 3$, the $PSL(2,mathbb{C})$--action is proper on $Omega^1(-1^s)$ and $mathcal{RI}Omega^1(-1^s)$. Therefore, the quotients $Omega^1(-1^s)/PSL(2,mathbb{C})$ and $mathcal{RI}Omega^1(-1^s)/PSL(2,mathbb{C})$ admit a stratification by orbit types. Using an explicit set of $PSL(2,mathbb{C})$--invariant functions, we give realizations for the quotients $Omega^1(-1^s)/PSL(2,mathbb{C})$ and $mathcal{RI}Omega^1(-1^s)/PSL(2,mathbb{C})$." @default.
- W2759401340 created "2017-10-06" @default.
- W2759401340 creator A5088445183 @default.
- W2759401340 date "2017-09-21" @default.
- W2759401340 modified "2023-09-27" @default.
- W2759401340 title "Classification of rational 1-forms on the Riemann sphere up to PSL(2,C)" @default.
- W2759401340 cites W112671161 @default.
- W2759401340 cites W1515192744 @default.
- W2759401340 cites W1563208379 @default.
- W2759401340 cites W1572385941 @default.
- W2759401340 cites W1993488772 @default.
- W2759401340 cites W1997620342 @default.
- W2759401340 cites W2007662501 @default.
- W2759401340 cites W2016269254 @default.
- W2759401340 cites W2018313706 @default.
- W2759401340 cites W2020159173 @default.
- W2759401340 cites W2050184637 @default.
- W2759401340 cites W2054006363 @default.
- W2759401340 cites W2083126667 @default.
- W2759401340 cites W2088842637 @default.
- W2759401340 cites W2181718044 @default.
- W2759401340 cites W2290066222 @default.
- W2759401340 cites W2314619886 @default.
- W2759401340 cites W2322195346 @default.
- W2759401340 cites W2329813941 @default.
- W2759401340 cites W2595556596 @default.
- W2759401340 cites W2900437035 @default.
- W2759401340 hasPublicationYear "2017" @default.
- W2759401340 type Work @default.
- W2759401340 sameAs 2759401340 @default.
- W2759401340 citedByCount "0" @default.
- W2759401340 crossrefType "posted-content" @default.
- W2759401340 hasAuthorship W2759401340A5088445183 @default.
- W2759401340 hasConcept C10464949 @default.
- W2759401340 hasConcept C114614502 @default.
- W2759401340 hasConcept C121332964 @default.
- W2759401340 hasConcept C151300846 @default.
- W2759401340 hasConcept C154483964 @default.
- W2759401340 hasConcept C18556879 @default.
- W2759401340 hasConcept C199422724 @default.
- W2759401340 hasConcept C202444582 @default.
- W2759401340 hasConcept C2779557605 @default.
- W2759401340 hasConcept C33923547 @default.
- W2759401340 hasConcept C62520636 @default.
- W2759401340 hasConceptScore W2759401340C10464949 @default.
- W2759401340 hasConceptScore W2759401340C114614502 @default.
- W2759401340 hasConceptScore W2759401340C121332964 @default.
- W2759401340 hasConceptScore W2759401340C151300846 @default.
- W2759401340 hasConceptScore W2759401340C154483964 @default.
- W2759401340 hasConceptScore W2759401340C18556879 @default.
- W2759401340 hasConceptScore W2759401340C199422724 @default.
- W2759401340 hasConceptScore W2759401340C202444582 @default.
- W2759401340 hasConceptScore W2759401340C2779557605 @default.
- W2759401340 hasConceptScore W2759401340C33923547 @default.
- W2759401340 hasConceptScore W2759401340C62520636 @default.
- W2759401340 hasLocation W27594013401 @default.
- W2759401340 hasOpenAccess W2759401340 @default.
- W2759401340 hasPrimaryLocation W27594013401 @default.
- W2759401340 hasRelatedWork W1790145059 @default.
- W2759401340 hasRelatedWork W1951391623 @default.
- W2759401340 hasRelatedWork W2017613436 @default.
- W2759401340 hasRelatedWork W2132299490 @default.
- W2759401340 hasRelatedWork W2314350661 @default.
- W2759401340 hasRelatedWork W2464963867 @default.
- W2759401340 hasRelatedWork W2499123406 @default.
- W2759401340 hasRelatedWork W2571554494 @default.
- W2759401340 hasRelatedWork W2738740288 @default.
- W2759401340 hasRelatedWork W2785874931 @default.
- W2759401340 hasRelatedWork W2950027436 @default.
- W2759401340 hasRelatedWork W2950657465 @default.
- W2759401340 hasRelatedWork W2950954994 @default.
- W2759401340 hasRelatedWork W2950976530 @default.
- W2759401340 hasRelatedWork W2951456691 @default.
- W2759401340 hasRelatedWork W3000638373 @default.
- W2759401340 hasRelatedWork W3118570783 @default.
- W2759401340 hasRelatedWork W3134954285 @default.
- W2759401340 hasRelatedWork W3166479839 @default.
- W2759401340 hasRelatedWork W3172837108 @default.
- W2759401340 isParatext "false" @default.
- W2759401340 isRetracted "false" @default.
- W2759401340 magId "2759401340" @default.
- W2759401340 workType "article" @default.