Matches in SemOpenAlex for { <https://semopenalex.org/work/W1942189847> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W1942189847 endingPage "515" @default.
- W1942189847 startingPage "491" @default.
- W1942189847 abstract "Let Tn denote the set of log canonical thresholds of pairs (X, Y ), with X a nonsingular variety of dimension n, and Y a nonempty closed subscheme of X. Using non-standard methods, we show that every limit of a decreasing sequence in Tn lies in Tn 1, proving in this setting a conjecture of Kollar. We also show that Tn is closed in R; in particular, every limit of log canonical thresholds on smooth varieties of fixed dimension is a rational number. As a consequence of this property, we see that in order to check Shokurov's ACC Conjecture for all Tn, it is enough to show that 1 is not a point of accumulation from below of any Tn. In a different direction, we interpret the ACC Conjecture as a semi-continuity property for log canonical thresholds of formal power series. R´´. Dans cet article, nous analysons les ensembles Tn de seuils log canoniques de paires (X, Y ), ou X est une variete lisse de dimension n, et Y est un sous-schema ferme non-vide de X. En employant des methodes nonstandard, nous montrons que chaque limite d'une suite strictement decroissante de Tn appartiennel'ensemble Tn 1 (ce resultat ` ´ete conjecture par J. Kollar dans ses travaux sur le sujet). Nous montrons ´ que l'ensemble Tn est ferme dans R, et on deduit que les valeurs adherentes de l'ensemble des seuils log canoniques des pairs (X, Y ) sont rationnelles, si la dimension de X est majoree. Une autre consequence de nos resultats concerne la Conjecture ACC de Shokurov pour les Tn. En effet, nous montrons qu'elle sera une consequence de l'´enonce suivant : pour tout n, la valeur 1 ne peut pasobtenue comme limite d'une suite strictement croissante de nombres contenus dans Tn. Dans une autre perspective, nous interpretons la Conjecture ACC comme une propriete de semicontinuite de seuils log canoniqes des series formelles." @default.
- W1942189847 created "2016-06-24" @default.
- W1942189847 creator A5018350527 @default.
- W1942189847 creator A5046545773 @default.
- W1942189847 date "2009-01-01" @default.
- W1942189847 modified "2023-10-17" @default.
- W1942189847 title "Limits of log canonical thresholds" @default.
- W1942189847 cites W1548944036 @default.
- W1942189847 cites W1580842374 @default.
- W1942189847 cites W1638210929 @default.
- W1942189847 cites W1656717670 @default.
- W1942189847 cites W1781238389 @default.
- W1942189847 cites W1974099498 @default.
- W1942189847 cites W1974986573 @default.
- W1942189847 cites W1988908592 @default.
- W1942189847 cites W2016555222 @default.
- W1942189847 cites W2020004355 @default.
- W1942189847 cites W2046049376 @default.
- W1942189847 cites W2075982233 @default.
- W1942189847 cites W2118380482 @default.
- W1942189847 cites W2146897784 @default.
- W1942189847 cites W2963959821 @default.
- W1942189847 cites W3037782294 @default.
- W1942189847 doi "https://doi.org/10.24033/asens.2100" @default.
- W1942189847 hasPublicationYear "2009" @default.
- W1942189847 type Work @default.
- W1942189847 sameAs 1942189847 @default.
- W1942189847 citedByCount "34" @default.
- W1942189847 countsByYear W19421898472012 @default.
- W1942189847 countsByYear W19421898472013 @default.
- W1942189847 countsByYear W19421898472014 @default.
- W1942189847 countsByYear W19421898472015 @default.
- W1942189847 countsByYear W19421898472016 @default.
- W1942189847 countsByYear W19421898472017 @default.
- W1942189847 countsByYear W19421898472018 @default.
- W1942189847 countsByYear W19421898472019 @default.
- W1942189847 countsByYear W19421898472020 @default.
- W1942189847 countsByYear W19421898472021 @default.
- W1942189847 countsByYear W19421898472022 @default.
- W1942189847 crossrefType "journal-article" @default.
- W1942189847 hasAuthorship W1942189847A5018350527 @default.
- W1942189847 hasAuthorship W1942189847A5046545773 @default.
- W1942189847 hasBestOaLocation W19421898471 @default.
- W1942189847 hasConcept C202444582 @default.
- W1942189847 hasConcept C33923547 @default.
- W1942189847 hasConceptScore W1942189847C202444582 @default.
- W1942189847 hasConceptScore W1942189847C33923547 @default.
- W1942189847 hasIssue "3" @default.
- W1942189847 hasLocation W19421898471 @default.
- W1942189847 hasLocation W19421898472 @default.
- W1942189847 hasLocation W19421898473 @default.
- W1942189847 hasOpenAccess W1942189847 @default.
- W1942189847 hasPrimaryLocation W19421898471 @default.
- W1942189847 hasRelatedWork W1557945163 @default.
- W1942189847 hasRelatedWork W1989920940 @default.
- W1942189847 hasRelatedWork W2036077645 @default.
- W1942189847 hasRelatedWork W2096753949 @default.
- W1942189847 hasRelatedWork W2742285599 @default.
- W1942189847 hasRelatedWork W2963103437 @default.
- W1942189847 hasRelatedWork W2964292522 @default.
- W1942189847 hasRelatedWork W3103780039 @default.
- W1942189847 hasRelatedWork W3123213595 @default.
- W1942189847 hasRelatedWork W3124205579 @default.
- W1942189847 hasVolume "42" @default.
- W1942189847 isParatext "false" @default.
- W1942189847 isRetracted "false" @default.
- W1942189847 magId "1942189847" @default.
- W1942189847 workType "article" @default.