Matches in SemOpenAlex for { <https://semopenalex.org/work/W3117939000> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W3117939000 abstract "We present an algorithm, based on work of the first named author, for computing the Veech group, $mathrm{SL}(X,omega)$, of a translation surface $(X, omega)$. This presentation is informed by an implementation of the algorithm by the second named author. For each stratum of the space of translation surfaces, we introduce an infinite translation surface containing in an appropriate manner a copy of every translation surface of the stratum. We show that a matrix is in $mathrm{SL}(X,omega)$ if and only if an associated affine automorphism of the infinite surface sends each of a finite set, the marked {em Voronoi staples}, arising from orientation-paired segments appropriately perpendicular to Voronoi 1-cells, to another pair of orientation-paired marked segments. (Segments are also known as saddle connections.) We prove a result that is of independent interest. For each real $age sqrt{2}$ there is an explicit hyperbolic ball such that for any Fuchsian group trivially stabilizing $i$, the Dirichlet domain centered at $i$ of the group already agrees within the ball with the intersection of the hyperbolic half-planes determined by the group elements whose Frobenius norm is at most $a$. When $mathrm{SL}(X,omega)$ is a lattice we use this to give a condition guaranteeing that the full group $mathrm{SL}(X,omega)$ has been computed." @default.
- W3117939000 created "2021-01-05" @default.
- W3117939000 creator A5007618465 @default.
- W3117939000 creator A5051936024 @default.
- W3117939000 creator A5059326257 @default.
- W3117939000 date "2020-12-23" @default.
- W3117939000 modified "2023-09-27" @default.
- W3117939000 title "Computing Veech groups" @default.
- W3117939000 cites W1534888978 @default.
- W3117939000 cites W1984614267 @default.
- W3117939000 cites W2051443510 @default.
- W3117939000 cites W2059495468 @default.
- W3117939000 cites W207450690 @default.
- W3117939000 cites W2108379580 @default.
- W3117939000 cites W2322864499 @default.
- W3117939000 cites W2591086496 @default.
- W3117939000 cites W2606573402 @default.
- W3117939000 cites W2906736352 @default.
- W3117939000 cites W2964228224 @default.
- W3117939000 hasPublicationYear "2020" @default.
- W3117939000 type Work @default.
- W3117939000 sameAs 3117939000 @default.
- W3117939000 citedByCount "0" @default.
- W3117939000 crossrefType "posted-content" @default.
- W3117939000 hasAuthorship W3117939000A5007618465 @default.
- W3117939000 hasAuthorship W3117939000A5051936024 @default.
- W3117939000 hasAuthorship W3117939000A5059326257 @default.
- W3117939000 hasConcept C114614502 @default.
- W3117939000 hasConcept C118712358 @default.
- W3117939000 hasConcept C121332964 @default.
- W3117939000 hasConcept C122041747 @default.
- W3117939000 hasConcept C13862481 @default.
- W3117939000 hasConcept C191948623 @default.
- W3117939000 hasConcept C192939610 @default.
- W3117939000 hasConcept C206352148 @default.
- W3117939000 hasConcept C24881265 @default.
- W3117939000 hasConcept C2524010 @default.
- W3117939000 hasConcept C2779557605 @default.
- W3117939000 hasConcept C33923547 @default.
- W3117939000 hasConcept C62520636 @default.
- W3117939000 hasConceptScore W3117939000C114614502 @default.
- W3117939000 hasConceptScore W3117939000C118712358 @default.
- W3117939000 hasConceptScore W3117939000C121332964 @default.
- W3117939000 hasConceptScore W3117939000C122041747 @default.
- W3117939000 hasConceptScore W3117939000C13862481 @default.
- W3117939000 hasConceptScore W3117939000C191948623 @default.
- W3117939000 hasConceptScore W3117939000C192939610 @default.
- W3117939000 hasConceptScore W3117939000C206352148 @default.
- W3117939000 hasConceptScore W3117939000C24881265 @default.
- W3117939000 hasConceptScore W3117939000C2524010 @default.
- W3117939000 hasConceptScore W3117939000C2779557605 @default.
- W3117939000 hasConceptScore W3117939000C33923547 @default.
- W3117939000 hasConceptScore W3117939000C62520636 @default.
- W3117939000 hasLocation W31179390001 @default.
- W3117939000 hasOpenAccess W3117939000 @default.
- W3117939000 hasPrimaryLocation W31179390001 @default.
- W3117939000 hasRelatedWork W1129002488 @default.
- W3117939000 hasRelatedWork W12146854 @default.
- W3117939000 hasRelatedWork W1804484642 @default.
- W3117939000 hasRelatedWork W1977430995 @default.
- W3117939000 hasRelatedWork W2006463205 @default.
- W3117939000 hasRelatedWork W2011075987 @default.
- W3117939000 hasRelatedWork W2025061043 @default.
- W3117939000 hasRelatedWork W2026219368 @default.
- W3117939000 hasRelatedWork W2050937461 @default.
- W3117939000 hasRelatedWork W2063817869 @default.
- W3117939000 hasRelatedWork W2120890696 @default.
- W3117939000 hasRelatedWork W2155170266 @default.
- W3117939000 hasRelatedWork W2332200849 @default.
- W3117939000 hasRelatedWork W2483349090 @default.
- W3117939000 hasRelatedWork W2534220532 @default.
- W3117939000 hasRelatedWork W2912753931 @default.
- W3117939000 hasRelatedWork W2917522364 @default.
- W3117939000 hasRelatedWork W2962689172 @default.
- W3117939000 hasRelatedWork W3102748567 @default.
- W3117939000 hasRelatedWork W3195216044 @default.
- W3117939000 isParatext "false" @default.
- W3117939000 isRetracted "false" @default.
- W3117939000 magId "3117939000" @default.
- W3117939000 workType "article" @default.