Matches in SemOpenAlex for { <https://semopenalex.org/work/W2604617385> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2604617385 endingPage "276" @default.
- W2604617385 startingPage "267" @default.
- W2604617385 abstract "The aim of this paper is to complete the classification of all Calabi–Yau threefolds which are constructed as the quotient of a smooth Schoen threefold X = B 1 × P 1 B 2 (fiber product over P 1 of two relatively minimal rational elliptic surfaces B 1 and B 2 with section) under a finite group action acting freely on the Schoen threefold X . The abelian group actions on smooth Schoen threefolds which induce cyclic group actions on the base curve P 1 were studied by Bouchard and Donagi (2008), and all such actions were listed. We consider the actions on the Schoen threefold by finite groups G whose elements are given as a product τ 1 × τ 2 of two automorphisms τ 1 and τ 2 of the rational elliptic surfaces B 1 and B 2 with section. In this paper, we use the classification of automorphism groups of rational elliptic surfaces with section given in Karayayla (2012) and Karayayla (2014) to generalize the results of Bouchard and Donagi to answer the question whether finite and freely acting group actions on Schoen threefolds which induce non-cyclic group actions on the base curve P 1 exist or not. Despite the existence of group actions on rational elliptic surfaces which induce non-cyclic (even non-abelian) group actions on P 1 , it is shown in this paper that none of those actions can be lifted to free actions on a Schoen threefold. The main result is that there is no finite group action on a Schoen threefold X which acts freely on X and which induces a non-cyclic group action on the base curve P 1 . This result shows that the list given in Bouchard and Donagi (2008) is a complete list of non-simply connected Calabi–Yau threefolds constructed as the quotient of a smooth Schoen threefold by a finite group action." @default.
- W2604617385 created "2017-04-14" @default.
- W2604617385 creator A5078272751 @default.
- W2604617385 date "2017-07-01" @default.
- W2604617385 modified "2023-09-29" @default.
- W2604617385 title "Non-simply connected Calabi–Yau threefolds constructed as quotients of Schoen threefolds" @default.
- W2604617385 cites W1965938347 @default.
- W2604617385 cites W1981981387 @default.
- W2604617385 cites W2010448188 @default.
- W2604617385 cites W2037123597 @default.
- W2604617385 cites W2331951323 @default.
- W2604617385 cites W2964352407 @default.
- W2604617385 doi "https://doi.org/10.1016/j.geomphys.2017.03.015" @default.
- W2604617385 hasPublicationYear "2017" @default.
- W2604617385 type Work @default.
- W2604617385 sameAs 2604617385 @default.
- W2604617385 citedByCount "0" @default.
- W2604617385 crossrefType "journal-article" @default.
- W2604617385 hasAuthorship W2604617385A5078272751 @default.
- W2604617385 hasBestOaLocation W26046173851 @default.
- W2604617385 hasConcept C111919701 @default.
- W2604617385 hasConcept C118712358 @default.
- W2604617385 hasConcept C121332964 @default.
- W2604617385 hasConcept C131715654 @default.
- W2604617385 hasConcept C134306372 @default.
- W2604617385 hasConcept C136170076 @default.
- W2604617385 hasConcept C179603306 @default.
- W2604617385 hasConcept C199422724 @default.
- W2604617385 hasConcept C202444582 @default.
- W2604617385 hasConcept C20725272 @default.
- W2604617385 hasConcept C2780129039 @default.
- W2604617385 hasConcept C2780791683 @default.
- W2604617385 hasConcept C2781311116 @default.
- W2604617385 hasConcept C33923547 @default.
- W2604617385 hasConcept C41008148 @default.
- W2604617385 hasConcept C42058472 @default.
- W2604617385 hasConcept C62520636 @default.
- W2604617385 hasConcept C96881808 @default.
- W2604617385 hasConceptScore W2604617385C111919701 @default.
- W2604617385 hasConceptScore W2604617385C118712358 @default.
- W2604617385 hasConceptScore W2604617385C121332964 @default.
- W2604617385 hasConceptScore W2604617385C131715654 @default.
- W2604617385 hasConceptScore W2604617385C134306372 @default.
- W2604617385 hasConceptScore W2604617385C136170076 @default.
- W2604617385 hasConceptScore W2604617385C179603306 @default.
- W2604617385 hasConceptScore W2604617385C199422724 @default.
- W2604617385 hasConceptScore W2604617385C202444582 @default.
- W2604617385 hasConceptScore W2604617385C20725272 @default.
- W2604617385 hasConceptScore W2604617385C2780129039 @default.
- W2604617385 hasConceptScore W2604617385C2780791683 @default.
- W2604617385 hasConceptScore W2604617385C2781311116 @default.
- W2604617385 hasConceptScore W2604617385C33923547 @default.
- W2604617385 hasConceptScore W2604617385C41008148 @default.
- W2604617385 hasConceptScore W2604617385C42058472 @default.
- W2604617385 hasConceptScore W2604617385C62520636 @default.
- W2604617385 hasConceptScore W2604617385C96881808 @default.
- W2604617385 hasLocation W26046173851 @default.
- W2604617385 hasOpenAccess W2604617385 @default.
- W2604617385 hasPrimaryLocation W26046173851 @default.
- W2604617385 hasRelatedWork W2072841111 @default.
- W2604617385 hasRelatedWork W2393810348 @default.
- W2604617385 hasRelatedWork W2604617385 @default.
- W2604617385 hasRelatedWork W2962944523 @default.
- W2604617385 hasRelatedWork W2995801688 @default.
- W2604617385 hasRelatedWork W3126773016 @default.
- W2604617385 hasRelatedWork W318908683 @default.
- W2604617385 hasRelatedWork W4232374233 @default.
- W2604617385 hasRelatedWork W4288627355 @default.
- W2604617385 hasRelatedWork W4297581477 @default.
- W2604617385 hasVolume "117" @default.
- W2604617385 isParatext "false" @default.
- W2604617385 isRetracted "false" @default.
- W2604617385 magId "2604617385" @default.
- W2604617385 workType "article" @default.