Matches in SemOpenAlex for { <https://semopenalex.org/work/W1986269988> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W1986269988 endingPage "586" @default.
- W1986269988 startingPage "571" @default.
- W1986269988 abstract "It is conjectured that for fixed $A$, $r ge 1$, and $d ge 1$, there is a uniform bound on the size of the torsion submodule of a Drinfeld $A$-module of rank $r$ over a degree $d$ extension $L$ of the fraction field $K$ of $A$. We verify the conjecture for $r=1$, and more generally for Drinfeld modules having potential good reduction at some prime above a specified prime of $K$. Moreover, we show that within an $Lbar$-isomorphism class, there are only finitely many Drinfeld modules up to isomorphism over $L$ which have nonzero torsion. For the case $A=Fq[T]$, $r=1$, and $L=Fq(T)$, we give an explicit description of the possible torsion submodules. We present three methods for proving these cases of the conjecture, and explain why they fail to prove the conjecture in general. Finally, an application of the Mordell conjecture for characteristic $p$ function fields proves the uniform boundedness for the $pp$-primary part of the torsion for rank~2 Drinfeld $Fq[T]$-modules over a fixed function field." @default.
- W1986269988 created "2016-06-24" @default.
- W1986269988 creator A5034540754 @default.
- W1986269988 date "1997-08-01" @default.
- W1986269988 modified "2023-10-16" @default.
- W1986269988 title "Torsion in rank 1 Drinfeld modules and the uniform boundedness conjecture" @default.
- W1986269988 cites W191818332 @default.
- W1986269988 cites W1979415908 @default.
- W1986269988 cites W2024792167 @default.
- W1986269988 cites W2064160983 @default.
- W1986269988 cites W2071913213 @default.
- W1986269988 cites W2073082930 @default.
- W1986269988 cites W2082955605 @default.
- W1986269988 cites W2109074235 @default.
- W1986269988 cites W2142293051 @default.
- W1986269988 cites W2256916067 @default.
- W1986269988 cites W2494855964 @default.
- W1986269988 cites W2626988931 @default.
- W1986269988 cites W615444925 @default.
- W1986269988 doi "https://doi.org/10.1007/s002080050090" @default.
- W1986269988 hasPublicationYear "1997" @default.
- W1986269988 type Work @default.
- W1986269988 sameAs 1986269988 @default.
- W1986269988 citedByCount "31" @default.
- W1986269988 countsByYear W19862699882012 @default.
- W1986269988 countsByYear W19862699882013 @default.
- W1986269988 countsByYear W19862699882014 @default.
- W1986269988 countsByYear W19862699882016 @default.
- W1986269988 countsByYear W19862699882019 @default.
- W1986269988 countsByYear W19862699882020 @default.
- W1986269988 countsByYear W19862699882022 @default.
- W1986269988 crossrefType "journal-article" @default.
- W1986269988 hasAuthorship W1986269988A5034540754 @default.
- W1986269988 hasBestOaLocation W19862699882 @default.
- W1986269988 hasConcept C114614502 @default.
- W1986269988 hasConcept C141071460 @default.
- W1986269988 hasConcept C164226766 @default.
- W1986269988 hasConcept C202444582 @default.
- W1986269988 hasConcept C2780990831 @default.
- W1986269988 hasConcept C33923547 @default.
- W1986269988 hasConcept C71924100 @default.
- W1986269988 hasConcept C77461463 @default.
- W1986269988 hasConceptScore W1986269988C114614502 @default.
- W1986269988 hasConceptScore W1986269988C141071460 @default.
- W1986269988 hasConceptScore W1986269988C164226766 @default.
- W1986269988 hasConceptScore W1986269988C202444582 @default.
- W1986269988 hasConceptScore W1986269988C2780990831 @default.
- W1986269988 hasConceptScore W1986269988C33923547 @default.
- W1986269988 hasConceptScore W1986269988C71924100 @default.
- W1986269988 hasConceptScore W1986269988C77461463 @default.
- W1986269988 hasIssue "4" @default.
- W1986269988 hasLocation W19862699881 @default.
- W1986269988 hasLocation W19862699882 @default.
- W1986269988 hasOpenAccess W1986269988 @default.
- W1986269988 hasPrimaryLocation W19862699881 @default.
- W1986269988 hasRelatedWork W1529715114 @default.
- W1986269988 hasRelatedWork W1990724757 @default.
- W1986269988 hasRelatedWork W2087734572 @default.
- W1986269988 hasRelatedWork W2120826334 @default.
- W1986269988 hasRelatedWork W2897153210 @default.
- W1986269988 hasRelatedWork W2951225764 @default.
- W1986269988 hasRelatedWork W3026358768 @default.
- W1986269988 hasRelatedWork W3038654277 @default.
- W1986269988 hasRelatedWork W4230292203 @default.
- W1986269988 hasRelatedWork W4234996786 @default.
- W1986269988 hasVolume "308" @default.
- W1986269988 isParatext "false" @default.
- W1986269988 isRetracted "false" @default.
- W1986269988 magId "1986269988" @default.
- W1986269988 workType "article" @default.