Matches in SemOpenAlex for { <https://semopenalex.org/work/W3017890257> ?p ?o ?g. }
- W3017890257 endingPage "107151" @default.
- W3017890257 startingPage "107151" @default.
- W3017890257 abstract "In the ongoing programme to classify noncommutative projective surfaces (connected graded noetherian domains of Gelfand-Kirillov dimension three) a natural question is to determine the minimal models within any birational class. In this paper we show that the generic noncommutative projective plane (corresponding to the three dimensional Sklyanin algebra) as well as noncommutative analogues of P1×P1 and the more general Van den Bergh quadrics satisfy very strong minimality conditions. Translated into an algebraic question, where one is interested in a maximality condition, we prove the following result. Theorem A: Let R be a Sklyanin algebra or a Van den Bergh quadric that is infinite dimensional over its centre and let A⊇R be any connected graded noetherian maximal order, with the same graded quotient ring as R. Then, up to taking Veronese rings, A is isomorphic to R. Let T be an elliptic algebra (that is, the coordinate ring of a noncommutative surface containing an elliptic curve). Then, under an appropriate homological condition, we prove that every connected graded noetherian overring of T is obtained by blowing down finitely many lines (line modules) of self-intersection (−1)." @default.
- W3017890257 created "2020-05-01" @default.
- W3017890257 creator A5000721810 @default.
- W3017890257 creator A5055785132 @default.
- W3017890257 creator A5064422927 @default.
- W3017890257 date "2020-08-01" @default.
- W3017890257 modified "2023-10-16" @default.
- W3017890257 title "Some noncommutative minimal surfaces" @default.
- W3017890257 cites W1530431073 @default.
- W3017890257 cites W1538392730 @default.
- W3017890257 cites W1585900112 @default.
- W3017890257 cites W1706528 @default.
- W3017890257 cites W1915296181 @default.
- W3017890257 cites W194457444 @default.
- W3017890257 cites W1981467864 @default.
- W3017890257 cites W1996263930 @default.
- W3017890257 cites W2003540166 @default.
- W3017890257 cites W2003740841 @default.
- W3017890257 cites W2006908431 @default.
- W3017890257 cites W2017795748 @default.
- W3017890257 cites W2019487252 @default.
- W3017890257 cites W2028214602 @default.
- W3017890257 cites W2039089891 @default.
- W3017890257 cites W2041457859 @default.
- W3017890257 cites W2042191269 @default.
- W3017890257 cites W2046909537 @default.
- W3017890257 cites W2053463318 @default.
- W3017890257 cites W2079130467 @default.
- W3017890257 cites W2083870346 @default.
- W3017890257 cites W2094273635 @default.
- W3017890257 cites W2095093353 @default.
- W3017890257 cites W2103061590 @default.
- W3017890257 cites W2131366942 @default.
- W3017890257 cites W2147831113 @default.
- W3017890257 cites W2154008761 @default.
- W3017890257 cites W2155816241 @default.
- W3017890257 cites W2166688297 @default.
- W3017890257 cites W2488310299 @default.
- W3017890257 cites W2624794700 @default.
- W3017890257 cites W2895508405 @default.
- W3017890257 cites W2904807975 @default.
- W3017890257 cites W2962688899 @default.
- W3017890257 cites W3098986752 @default.
- W3017890257 cites W3100499751 @default.
- W3017890257 cites W3101927833 @default.
- W3017890257 cites W3106489080 @default.
- W3017890257 doi "https://doi.org/10.1016/j.aim.2020.107151" @default.
- W3017890257 hasPublicationYear "2020" @default.
- W3017890257 type Work @default.
- W3017890257 sameAs 3017890257 @default.
- W3017890257 citedByCount "0" @default.
- W3017890257 crossrefType "journal-article" @default.
- W3017890257 hasAuthorship W3017890257A5000721810 @default.
- W3017890257 hasAuthorship W3017890257A5055785132 @default.
- W3017890257 hasAuthorship W3017890257A5064422927 @default.
- W3017890257 hasBestOaLocation W30178902572 @default.
- W3017890257 hasConcept C136119220 @default.
- W3017890257 hasConcept C178790620 @default.
- W3017890257 hasConcept C185592680 @default.
- W3017890257 hasConcept C193645952 @default.
- W3017890257 hasConcept C202444582 @default.
- W3017890257 hasConcept C2779057376 @default.
- W3017890257 hasConcept C2780378348 @default.
- W3017890257 hasConcept C29384965 @default.
- W3017890257 hasConcept C33923547 @default.
- W3017890257 hasConcept C68797384 @default.
- W3017890257 hasConcept C96489954 @default.
- W3017890257 hasConceptScore W3017890257C136119220 @default.
- W3017890257 hasConceptScore W3017890257C178790620 @default.
- W3017890257 hasConceptScore W3017890257C185592680 @default.
- W3017890257 hasConceptScore W3017890257C193645952 @default.
- W3017890257 hasConceptScore W3017890257C202444582 @default.
- W3017890257 hasConceptScore W3017890257C2779057376 @default.
- W3017890257 hasConceptScore W3017890257C2780378348 @default.
- W3017890257 hasConceptScore W3017890257C29384965 @default.
- W3017890257 hasConceptScore W3017890257C33923547 @default.
- W3017890257 hasConceptScore W3017890257C68797384 @default.
- W3017890257 hasConceptScore W3017890257C96489954 @default.
- W3017890257 hasFunder F4320306076 @default.
- W3017890257 hasFunder F4320311089 @default.
- W3017890257 hasFunder F4320334627 @default.
- W3017890257 hasLocation W30178902571 @default.
- W3017890257 hasLocation W30178902572 @default.
- W3017890257 hasLocation W30178902573 @default.
- W3017890257 hasLocation W30178902574 @default.
- W3017890257 hasOpenAccess W3017890257 @default.
- W3017890257 hasPrimaryLocation W30178902571 @default.
- W3017890257 hasRelatedWork W1982591054 @default.
- W3017890257 hasRelatedWork W1985582232 @default.
- W3017890257 hasRelatedWork W2063751318 @default.
- W3017890257 hasRelatedWork W2078854592 @default.
- W3017890257 hasRelatedWork W2321050958 @default.
- W3017890257 hasRelatedWork W2528037257 @default.
- W3017890257 hasRelatedWork W2950990078 @default.
- W3017890257 hasRelatedWork W2963158695 @default.
- W3017890257 hasRelatedWork W3182916989 @default.
- W3017890257 hasRelatedWork W4382197158 @default.
- W3017890257 hasVolume "369" @default.