Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287332830> ?p ?o ?g. }
Showing items 1 to 53 of
53
with 100 items per page.
- W4287332830 abstract "The Geometric Shafarevich Conjecture and the Theorem of de Franchis state the finiteness of the number of certain holomorphic objects on closed or punctured Riemann surfaces. The analog of these kind of theorems for Riemann surfaces of second kind is an estimate of the number of irreducible holomorphic objects up to homotopy (or isotopy, respectively). This analog can be interpreted as a quantitatve statement on the limitation for Gromov's Oka principle. For any finite open Riemann surface $X$ (maybe, of second kind) we give an effective upper bound for the number of irreducible holomorphic mappings up to homotopy from $X$ to the twice punctured complex plane, and an effective upper bound for the number of irreducible holomorphic torus bundles up to isotopy on such a Riemann surface. The bound depends on a conformal invariant of the Riemann surface. If $X_{sigma}$ is the $sigma$-neighbourhood of a skeleton of an open Riemann surface with finitely generated fundamental group, then the number of irreducible holomorphic mappings up to homotopy from $X_{sigma}$ to the twice punctured complex plane grows exponentially in $frac{1}{sigma}$." @default.
- W4287332830 created "2022-07-25" @default.
- W4287332830 creator A5050015057 @default.
- W4287332830 date "2021-02-03" @default.
- W4287332830 modified "2023-09-26" @default.
- W4287332830 title "Riemann surfaces of second kind and effective finiteness theorems" @default.
- W4287332830 doi "https://doi.org/10.48550/arxiv.2102.02139" @default.
- W4287332830 hasPublicationYear "2021" @default.
- W4287332830 type Work @default.
- W4287332830 citedByCount "0" @default.
- W4287332830 crossrefType "posted-content" @default.
- W4287332830 hasAuthorship W4287332830A5050015057 @default.
- W4287332830 hasBestOaLocation W42873328301 @default.
- W4287332830 hasConcept C112468886 @default.
- W4287332830 hasConcept C131356121 @default.
- W4287332830 hasConcept C134306372 @default.
- W4287332830 hasConcept C138305945 @default.
- W4287332830 hasConcept C18556879 @default.
- W4287332830 hasConcept C202444582 @default.
- W4287332830 hasConcept C204575570 @default.
- W4287332830 hasConcept C26020477 @default.
- W4287332830 hasConcept C2778876713 @default.
- W4287332830 hasConcept C33923547 @default.
- W4287332830 hasConcept C48902493 @default.
- W4287332830 hasConcept C5961521 @default.
- W4287332830 hasConceptScore W4287332830C112468886 @default.
- W4287332830 hasConceptScore W4287332830C131356121 @default.
- W4287332830 hasConceptScore W4287332830C134306372 @default.
- W4287332830 hasConceptScore W4287332830C138305945 @default.
- W4287332830 hasConceptScore W4287332830C18556879 @default.
- W4287332830 hasConceptScore W4287332830C202444582 @default.
- W4287332830 hasConceptScore W4287332830C204575570 @default.
- W4287332830 hasConceptScore W4287332830C26020477 @default.
- W4287332830 hasConceptScore W4287332830C2778876713 @default.
- W4287332830 hasConceptScore W4287332830C33923547 @default.
- W4287332830 hasConceptScore W4287332830C48902493 @default.
- W4287332830 hasConceptScore W4287332830C5961521 @default.
- W4287332830 hasLocation W42873328301 @default.
- W4287332830 hasOpenAccess W4287332830 @default.
- W4287332830 hasPrimaryLocation W42873328301 @default.
- W4287332830 hasRelatedWork W1987693836 @default.
- W4287332830 hasRelatedWork W2022183156 @default.
- W4287332830 hasRelatedWork W2039142416 @default.
- W4287332830 hasRelatedWork W2320484694 @default.
- W4287332830 hasRelatedWork W2800111970 @default.
- W4287332830 hasRelatedWork W2962941907 @default.
- W4287332830 hasRelatedWork W3128146206 @default.
- W4287332830 hasRelatedWork W3139790407 @default.
- W4287332830 hasRelatedWork W4287332830 @default.
- W4287332830 hasRelatedWork W989277420 @default.
- W4287332830 isParatext "false" @default.
- W4287332830 isRetracted "false" @default.
- W4287332830 workType "article" @default.