Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288267774> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4288267774 abstract "We study the trigonometry of non-Euclidean tetrahedra using tools from algebraic geometry. We establish a bijection between non-Euclidean tetrahedra and certain rational elliptic surfaces. We interpret the edge lengths and the dihedral angles of a tetrahedron as values of period maps for the corresponding surface. As a corollary we show that the cross-ratio of the exponents of the solid angles of a tetrahedron is equal to the cross-ratio of the exponents of the perimeters of its faces. The Regge symmetries of a tetrahedron are related to the action of the Weyl group $W(D_6)$ on the Picard lattice of the corresponding surface." @default.
- W4288267774 created "2022-07-28" @default.
- W4288267774 creator A5012465897 @default.
- W4288267774 date "2019-08-03" @default.
- W4288267774 modified "2023-10-14" @default.
- W4288267774 title "Rational Elliptic Surfaces and the Trigonometry of Tetrahedra" @default.
- W4288267774 doi "https://doi.org/10.48550/arxiv.1908.01141" @default.
- W4288267774 hasPublicationYear "2019" @default.
- W4288267774 type Work @default.
- W4288267774 citedByCount "0" @default.
- W4288267774 crossrefType "posted-content" @default.
- W4288267774 hasAuthorship W4288267774A5012465897 @default.
- W4288267774 hasBestOaLocation W42882677741 @default.
- W4288267774 hasConcept C105239961 @default.
- W4288267774 hasConcept C114614502 @default.
- W4288267774 hasConcept C129782007 @default.
- W4288267774 hasConcept C134306372 @default.
- W4288267774 hasConcept C202444582 @default.
- W4288267774 hasConcept C24424167 @default.
- W4288267774 hasConcept C2524010 @default.
- W4288267774 hasConcept C2776799497 @default.
- W4288267774 hasConcept C29001434 @default.
- W4288267774 hasConcept C33923547 @default.
- W4288267774 hasConcept C62438384 @default.
- W4288267774 hasConcept C9376300 @default.
- W4288267774 hasConcept C96469262 @default.
- W4288267774 hasConceptScore W4288267774C105239961 @default.
- W4288267774 hasConceptScore W4288267774C114614502 @default.
- W4288267774 hasConceptScore W4288267774C129782007 @default.
- W4288267774 hasConceptScore W4288267774C134306372 @default.
- W4288267774 hasConceptScore W4288267774C202444582 @default.
- W4288267774 hasConceptScore W4288267774C24424167 @default.
- W4288267774 hasConceptScore W4288267774C2524010 @default.
- W4288267774 hasConceptScore W4288267774C2776799497 @default.
- W4288267774 hasConceptScore W4288267774C29001434 @default.
- W4288267774 hasConceptScore W4288267774C33923547 @default.
- W4288267774 hasConceptScore W4288267774C62438384 @default.
- W4288267774 hasConceptScore W4288267774C9376300 @default.
- W4288267774 hasConceptScore W4288267774C96469262 @default.
- W4288267774 hasLocation W42882677741 @default.
- W4288267774 hasOpenAccess W4288267774 @default.
- W4288267774 hasPrimaryLocation W42882677741 @default.
- W4288267774 hasRelatedWork W1978358754 @default.
- W4288267774 hasRelatedWork W1979153357 @default.
- W4288267774 hasRelatedWork W2079638187 @default.
- W4288267774 hasRelatedWork W2087206678 @default.
- W4288267774 hasRelatedWork W2093857802 @default.
- W4288267774 hasRelatedWork W2315625581 @default.
- W4288267774 hasRelatedWork W2965508960 @default.
- W4288267774 hasRelatedWork W3037447659 @default.
- W4288267774 hasRelatedWork W3170203207 @default.
- W4288267774 hasRelatedWork W3194951920 @default.
- W4288267774 isParatext "false" @default.
- W4288267774 isRetracted "false" @default.
- W4288267774 workType "article" @default.