Matches in SemOpenAlex for { <https://semopenalex.org/work/W2068578046> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2068578046 endingPage "312" @default.
- W2068578046 startingPage "241" @default.
- W2068578046 abstract "Abstract We prove an arithmetic analogue of the so-called Lefschetz theorem which asserts that, if D is an effective divisor in a projective normal surface X which is nef and big, then the inclusion map from the support |D| of D in X induces a surjection from the (algebraic) fondamental group of |D| onto the one of X. In the arithmetic setting, X is a normal arithmetic surface, quasi-projective over Spec Z, D is an effective divisor in X, proper over Spec Z, and furthermore one is given an open neighbourhood Ω of |D|(C) on the Riemann surface X(C) such that the inclusion map |D|(C)↪Ω is a homotopy equivalence. Then we may consider the equilibrium potential g D,Ω of the divisor D(C) in Ω and the Arakelov divisor ( D,g D,Ω ), and we show that if the latter is nef and big in the sense of Arakelov geometry, then the fundamental group of |D| still surjects onto the one of X. This results extends an earlier theorem of Ihara, and is proved by using a generalization of Arakelov intersection theory on arithmetic surfaces, based on the use of Green functions which, up to logarithmic singularities, belong to the Sobolev space L12." @default.
- W2068578046 created "2016-06-24" @default.
- W2068578046 creator A5044456334 @default.
- W2068578046 date "1999-03-01" @default.
- W2068578046 modified "2023-10-14" @default.
- W2068578046 title "Potential theory and Lefschetz theorems for arithmetic surfaces" @default.
- W2068578046 cites W135367007 @default.
- W2068578046 cites W1501601053 @default.
- W2068578046 cites W1509839166 @default.
- W2068578046 cites W1560501720 @default.
- W2068578046 cites W1582341547 @default.
- W2068578046 cites W1979976185 @default.
- W2068578046 cites W1999877358 @default.
- W2068578046 cites W2010606123 @default.
- W2068578046 cites W2014051441 @default.
- W2068578046 cites W2014174697 @default.
- W2068578046 cites W2016587465 @default.
- W2068578046 cites W2035526294 @default.
- W2068578046 cites W2039986663 @default.
- W2068578046 cites W2054259182 @default.
- W2068578046 cites W2054990988 @default.
- W2068578046 cites W2062313277 @default.
- W2068578046 cites W2069246401 @default.
- W2068578046 cites W2088998213 @default.
- W2068578046 cites W2094322376 @default.
- W2068578046 cites W2135512984 @default.
- W2068578046 cites W2332177031 @default.
- W2068578046 cites W2579088845 @default.
- W2068578046 cites W2585246854 @default.
- W2068578046 cites W2598481014 @default.
- W2068578046 cites W3176402497 @default.
- W2068578046 cites W53815949 @default.
- W2068578046 cites W653789610 @default.
- W2068578046 cites W7402427 @default.
- W2068578046 doi "https://doi.org/10.1016/s0012-9593(99)80015-9" @default.
- W2068578046 hasPublicationYear "1999" @default.
- W2068578046 type Work @default.
- W2068578046 sameAs 2068578046 @default.
- W2068578046 citedByCount "58" @default.
- W2068578046 countsByYear W20685780462012 @default.
- W2068578046 countsByYear W20685780462013 @default.
- W2068578046 countsByYear W20685780462014 @default.
- W2068578046 countsByYear W20685780462015 @default.
- W2068578046 countsByYear W20685780462017 @default.
- W2068578046 countsByYear W20685780462018 @default.
- W2068578046 countsByYear W20685780462019 @default.
- W2068578046 countsByYear W20685780462020 @default.
- W2068578046 countsByYear W20685780462021 @default.
- W2068578046 countsByYear W20685780462022 @default.
- W2068578046 crossrefType "journal-article" @default.
- W2068578046 hasAuthorship W2068578046A5044456334 @default.
- W2068578046 hasBestOaLocation W20685780462 @default.
- W2068578046 hasConcept C136119220 @default.
- W2068578046 hasConcept C172939862 @default.
- W2068578046 hasConcept C202444582 @default.
- W2068578046 hasConcept C206929604 @default.
- W2068578046 hasConcept C28642324 @default.
- W2068578046 hasConcept C33923547 @default.
- W2068578046 hasConcept C45962547 @default.
- W2068578046 hasConcept C94375191 @default.
- W2068578046 hasConceptScore W2068578046C136119220 @default.
- W2068578046 hasConceptScore W2068578046C172939862 @default.
- W2068578046 hasConceptScore W2068578046C202444582 @default.
- W2068578046 hasConceptScore W2068578046C206929604 @default.
- W2068578046 hasConceptScore W2068578046C28642324 @default.
- W2068578046 hasConceptScore W2068578046C33923547 @default.
- W2068578046 hasConceptScore W2068578046C45962547 @default.
- W2068578046 hasConceptScore W2068578046C94375191 @default.
- W2068578046 hasIssue "2" @default.
- W2068578046 hasLocation W20685780461 @default.
- W2068578046 hasLocation W20685780462 @default.
- W2068578046 hasOpenAccess W2068578046 @default.
- W2068578046 hasPrimaryLocation W20685780461 @default.
- W2068578046 hasRelatedWork W1007810975 @default.
- W2068578046 hasRelatedWork W1619282128 @default.
- W2068578046 hasRelatedWork W1977179909 @default.
- W2068578046 hasRelatedWork W1997119217 @default.
- W2068578046 hasRelatedWork W2018156737 @default.
- W2068578046 hasRelatedWork W2020174565 @default.
- W2068578046 hasRelatedWork W2060698830 @default.
- W2068578046 hasRelatedWork W2091984925 @default.
- W2068578046 hasRelatedWork W2121183930 @default.
- W2068578046 hasRelatedWork W4241366832 @default.
- W2068578046 hasVolume "32" @default.
- W2068578046 isParatext "false" @default.
- W2068578046 isRetracted "false" @default.
- W2068578046 magId "2068578046" @default.
- W2068578046 workType "article" @default.