Matches in SemOpenAlex for { <https://semopenalex.org/work/W1565663341> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W1565663341 abstract "Let C be an algebraic curve of genus g. Let E be a vector bundle of rank n and degree d. Consider among all subbundles F' of E of rank n' those of maximal degree d'. Then s_n'(E)= n'd-nd'le n'(n-n')g. If E is stable s_n'(E)>0 while if E is generic s_n'(E)ge n'(n-n')(g-1) . The following statement was conjectured by Lange: If 0<sle n'(n-n')(g-1), then there exist stable vector bundles with s_n'(E)=s. We prove this result for the generic curve. We also clarify what happens in the interval n'(n-n')(g-1)<sle n'(n-n')g Our method uses a degeneration argument to a reducible curve. A similar result has been obtained by L.Bambrila-Paz and H.Lange using a different method." @default.
- W1565663341 created "2016-06-24" @default.
- W1565663341 creator A5031537862 @default.
- W1565663341 date "1997-05-22" @default.
- W1565663341 modified "2023-09-27" @default.
- W1565663341 title "On Lange's Conjecture" @default.
- W1565663341 hasPublicationYear "1997" @default.
- W1565663341 type Work @default.
- W1565663341 sameAs 1565663341 @default.
- W1565663341 citedByCount "0" @default.
- W1565663341 crossrefType "posted-content" @default.
- W1565663341 hasAuthorship W1565663341A5031537862 @default.
- W1565663341 hasConcept C114614502 @default.
- W1565663341 hasConcept C118615104 @default.
- W1565663341 hasConcept C121332964 @default.
- W1565663341 hasConcept C157369684 @default.
- W1565663341 hasConcept C164226766 @default.
- W1565663341 hasConcept C202444582 @default.
- W1565663341 hasConcept C207043602 @default.
- W1565663341 hasConcept C24890656 @default.
- W1565663341 hasConcept C2775997480 @default.
- W1565663341 hasConcept C2778067643 @default.
- W1565663341 hasConcept C2780990831 @default.
- W1565663341 hasConcept C33923547 @default.
- W1565663341 hasConcept C59822182 @default.
- W1565663341 hasConcept C86803240 @default.
- W1565663341 hasConcept C95857938 @default.
- W1565663341 hasConceptScore W1565663341C114614502 @default.
- W1565663341 hasConceptScore W1565663341C118615104 @default.
- W1565663341 hasConceptScore W1565663341C121332964 @default.
- W1565663341 hasConceptScore W1565663341C157369684 @default.
- W1565663341 hasConceptScore W1565663341C164226766 @default.
- W1565663341 hasConceptScore W1565663341C202444582 @default.
- W1565663341 hasConceptScore W1565663341C207043602 @default.
- W1565663341 hasConceptScore W1565663341C24890656 @default.
- W1565663341 hasConceptScore W1565663341C2775997480 @default.
- W1565663341 hasConceptScore W1565663341C2778067643 @default.
- W1565663341 hasConceptScore W1565663341C2780990831 @default.
- W1565663341 hasConceptScore W1565663341C33923547 @default.
- W1565663341 hasConceptScore W1565663341C59822182 @default.
- W1565663341 hasConceptScore W1565663341C86803240 @default.
- W1565663341 hasConceptScore W1565663341C95857938 @default.
- W1565663341 hasLocation W15656633411 @default.
- W1565663341 hasOpenAccess W1565663341 @default.
- W1565663341 hasPrimaryLocation W15656633411 @default.
- W1565663341 hasRelatedWork W1521206585 @default.
- W1565663341 hasRelatedWork W1585062619 @default.
- W1565663341 hasRelatedWork W1585209521 @default.
- W1565663341 hasRelatedWork W1594911548 @default.
- W1565663341 hasRelatedWork W1997235191 @default.
- W1565663341 hasRelatedWork W2006014514 @default.
- W1565663341 hasRelatedWork W2011173677 @default.
- W1565663341 hasRelatedWork W2028728392 @default.
- W1565663341 hasRelatedWork W2053787323 @default.
- W1565663341 hasRelatedWork W2064432610 @default.
- W1565663341 hasRelatedWork W2167233579 @default.
- W1565663341 hasRelatedWork W2326370730 @default.
- W1565663341 hasRelatedWork W2554209285 @default.
- W1565663341 hasRelatedWork W2901819050 @default.
- W1565663341 hasRelatedWork W2949236885 @default.
- W1565663341 hasRelatedWork W2951198083 @default.
- W1565663341 hasRelatedWork W2962696742 @default.
- W1565663341 hasRelatedWork W2963871940 @default.
- W1565663341 hasRelatedWork W2963953791 @default.
- W1565663341 hasRelatedWork W3086811699 @default.
- W1565663341 isParatext "false" @default.
- W1565663341 isRetracted "false" @default.
- W1565663341 magId "1565663341" @default.
- W1565663341 workType "article" @default.