Matches in SemOpenAlex for { <https://semopenalex.org/work/W1987958191> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W1987958191 endingPage "1112" @default.
- W1987958191 startingPage "1097" @default.
- W1987958191 abstract "Given a meromorphic function $$s: {mathbb {C}}rightarrow mathbb {P}^{1}$$ , we obtain a family of fiber-preserving dominating holomorphic maps from $$mathbb {C}^{2}$$ onto $$mathbb {C}^{2}setminus text{ graph }(s)$$ defined in terms of the flows of complete vector fields of type $$mathbb {C}^{*}$$ and of an entire function $$h:mathbb {C}rightarrow mathbb {C}$$ whose graph does not meet $$text{ graph }(s)$$ , which was determined by Buzzard and Lu. In particular, we prove that the dominating map constructed by these authors to prove the dominability of $$mathbb {C}^{2}setminus text{ graph }(s)$$ is in the above family. We also study the complement of a double section in $$mathbb {C}times mathbb {P}^{1}$$ in terms of a complex flow. Moreover, when $$s$$ has at most one pole, we prove that there are infinitely many complete vector fields tangent to $$text{ graph }(s)$$ , describing explicit families of them with all their trajectories proper and of the same type ( $$mathbb {C}$$ or $$mathbb {C}^{*}$$ ), if $$text{ graph }(s)$$ does not contain zeros; and families with almost all trajectories non-proper and of type $$mathbb {C}$$ , or of type $$mathbb {C}^{*}$$ , if $$text{ graph }(s)$$ contains zeros. We also study the dominability of $$mathbb {C}^{2}setminus A$$ when $$Asubset mathbb {C}^{2}$$ is invariant by the flow of a complete holomorphic vector field." @default.
- W1987958191 created "2016-06-24" @default.
- W1987958191 creator A5055775946 @default.
- W1987958191 date "2014-08-23" @default.
- W1987958191 modified "2023-09-26" @default.
- W1987958191 title "Complements of graphs of meromorphic functions and complete vector fields" @default.
- W1987958191 cites W131204689 @default.
- W1987958191 cites W167568805 @default.
- W1987958191 cites W1971803476 @default.
- W1987958191 cites W1981336002 @default.
- W1987958191 cites W2060822900 @default.
- W1987958191 cites W2076500389 @default.
- W1987958191 cites W2082360495 @default.
- W1987958191 cites W3100279992 @default.
- W1987958191 doi "https://doi.org/10.1007/s00209-014-1347-x" @default.
- W1987958191 hasPublicationYear "2014" @default.
- W1987958191 type Work @default.
- W1987958191 sameAs 1987958191 @default.
- W1987958191 citedByCount "1" @default.
- W1987958191 countsByYear W19879581912018 @default.
- W1987958191 crossrefType "journal-article" @default.
- W1987958191 hasAuthorship W1987958191A5055775946 @default.
- W1987958191 hasBestOaLocation W19879581912 @default.
- W1987958191 hasConcept C114614502 @default.
- W1987958191 hasConcept C118615104 @default.
- W1987958191 hasConcept C132525143 @default.
- W1987958191 hasConcept C190333341 @default.
- W1987958191 hasConcept C202444582 @default.
- W1987958191 hasConcept C204575570 @default.
- W1987958191 hasConcept C33923547 @default.
- W1987958191 hasConceptScore W1987958191C114614502 @default.
- W1987958191 hasConceptScore W1987958191C118615104 @default.
- W1987958191 hasConceptScore W1987958191C132525143 @default.
- W1987958191 hasConceptScore W1987958191C190333341 @default.
- W1987958191 hasConceptScore W1987958191C202444582 @default.
- W1987958191 hasConceptScore W1987958191C204575570 @default.
- W1987958191 hasConceptScore W1987958191C33923547 @default.
- W1987958191 hasIssue "3-4" @default.
- W1987958191 hasLocation W19879581911 @default.
- W1987958191 hasLocation W19879581912 @default.
- W1987958191 hasLocation W19879581913 @default.
- W1987958191 hasLocation W19879581914 @default.
- W1987958191 hasOpenAccess W1987958191 @default.
- W1987958191 hasPrimaryLocation W19879581911 @default.
- W1987958191 hasRelatedWork W104421348 @default.
- W1987958191 hasRelatedWork W1483939023 @default.
- W1987958191 hasRelatedWork W2045331312 @default.
- W1987958191 hasRelatedWork W2112841870 @default.
- W1987958191 hasRelatedWork W2162556341 @default.
- W1987958191 hasRelatedWork W2353164941 @default.
- W1987958191 hasRelatedWork W2358057405 @default.
- W1987958191 hasRelatedWork W2383123187 @default.
- W1987958191 hasRelatedWork W3003396734 @default.
- W1987958191 hasRelatedWork W2219222454 @default.
- W1987958191 hasVolume "278" @default.
- W1987958191 isParatext "false" @default.
- W1987958191 isRetracted "false" @default.
- W1987958191 magId "1987958191" @default.
- W1987958191 workType "article" @default.