Matches in SemOpenAlex for { <https://semopenalex.org/work/W3008618063> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W3008618063 abstract "Let $psi: A to F{tau}$ be a Drinfeld $A$-module over $F$ of rank 2 and without complex multiplication, where $A = {mathbb{F}}_q[T]$, $F = {mathbb{F}}_q(T)$, and $q$ is an odd prime power. For a prime $mathfrak{p} = p A$ of $A$ of good reduction for $psi$ and with residue field ${mathbb{F}}_{mathfrak{p}}$, we study the growth of the absolute value $|Delta_{mathfrak{p}}|$ of the discriminant of the ${mathbb{F}}_{mathfrak{p}}$-endomorphism ring of the reduction of $psi$ modulo $mathfrak{p}$. We prove that for all $mathfrak{p}$, $|Delta_{mathfrak{p}}|$ grows with $|p|$. Moreover, we prove that for a density 1 of primes $mathfrak{p}$, $|Delta_{mathfrak{p}}|$ is as close as possible to its upper bound $|a_{mathfrak{p}}^2 - 4 mu_{mathfrak{p}}p|$, where $X^2+a_{mathfrak{p}}X+mu_{mathfrak{p}} p in A[X]$ is the characteristic polynomial of $tau^{text{deg} p}$." @default.
- W3008618063 created "2020-03-06" @default.
- W3008618063 creator A5021892978 @default.
- W3008618063 creator A5025870478 @default.
- W3008618063 date "2020-02-22" @default.
- W3008618063 modified "2023-09-27" @default.
- W3008618063 title "The growth of the discriminant of the endomorphism ring of the reduction of a rank 2 generic Drinfeld module" @default.
- W3008618063 cites W161153561 @default.
- W3008618063 cites W1991490302 @default.
- W3008618063 cites W2041959887 @default.
- W3008618063 cites W2963641564 @default.
- W3008618063 cites W3009180575 @default.
- W3008618063 hasPublicationYear "2020" @default.
- W3008618063 type Work @default.
- W3008618063 sameAs 3008618063 @default.
- W3008618063 citedByCount "2" @default.
- W3008618063 countsByYear W30086180632020 @default.
- W3008618063 countsByYear W30086180632021 @default.
- W3008618063 crossrefType "posted-content" @default.
- W3008618063 hasAuthorship W3008618063A5021892978 @default.
- W3008618063 hasAuthorship W3008618063A5025870478 @default.
- W3008618063 hasConcept C114614502 @default.
- W3008618063 hasConcept C116858840 @default.
- W3008618063 hasConcept C154945302 @default.
- W3008618063 hasConcept C164226766 @default.
- W3008618063 hasConcept C178790620 @default.
- W3008618063 hasConcept C184992742 @default.
- W3008618063 hasConcept C185592680 @default.
- W3008618063 hasConcept C202444582 @default.
- W3008618063 hasConcept C2778153370 @default.
- W3008618063 hasConcept C2780378348 @default.
- W3008618063 hasConcept C2781025942 @default.
- W3008618063 hasConcept C33923547 @default.
- W3008618063 hasConcept C41008148 @default.
- W3008618063 hasConcept C78397625 @default.
- W3008618063 hasConcept C9652623 @default.
- W3008618063 hasConceptScore W3008618063C114614502 @default.
- W3008618063 hasConceptScore W3008618063C116858840 @default.
- W3008618063 hasConceptScore W3008618063C154945302 @default.
- W3008618063 hasConceptScore W3008618063C164226766 @default.
- W3008618063 hasConceptScore W3008618063C178790620 @default.
- W3008618063 hasConceptScore W3008618063C184992742 @default.
- W3008618063 hasConceptScore W3008618063C185592680 @default.
- W3008618063 hasConceptScore W3008618063C202444582 @default.
- W3008618063 hasConceptScore W3008618063C2778153370 @default.
- W3008618063 hasConceptScore W3008618063C2780378348 @default.
- W3008618063 hasConceptScore W3008618063C2781025942 @default.
- W3008618063 hasConceptScore W3008618063C33923547 @default.
- W3008618063 hasConceptScore W3008618063C41008148 @default.
- W3008618063 hasConceptScore W3008618063C78397625 @default.
- W3008618063 hasConceptScore W3008618063C9652623 @default.
- W3008618063 hasLocation W30086180631 @default.
- W3008618063 hasOpenAccess W3008618063 @default.
- W3008618063 hasPrimaryLocation W30086180631 @default.
- W3008618063 hasRelatedWork W1519744988 @default.
- W3008618063 hasRelatedWork W1600717595 @default.
- W3008618063 hasRelatedWork W1603696373 @default.
- W3008618063 hasRelatedWork W1648534224 @default.
- W3008618063 hasRelatedWork W2480471229 @default.
- W3008618063 hasRelatedWork W2571836668 @default.
- W3008618063 hasRelatedWork W2734264218 @default.
- W3008618063 hasRelatedWork W2746867716 @default.
- W3008618063 hasRelatedWork W2754998836 @default.
- W3008618063 hasRelatedWork W2770686869 @default.
- W3008618063 hasRelatedWork W2798271861 @default.
- W3008618063 hasRelatedWork W2927963574 @default.
- W3008618063 hasRelatedWork W2938735687 @default.
- W3008618063 hasRelatedWork W2949554932 @default.
- W3008618063 hasRelatedWork W2949975352 @default.
- W3008618063 hasRelatedWork W2962996759 @default.
- W3008618063 hasRelatedWork W2966098835 @default.
- W3008618063 hasRelatedWork W3106184251 @default.
- W3008618063 hasRelatedWork W3170101748 @default.
- W3008618063 hasRelatedWork W3213360477 @default.
- W3008618063 isParatext "false" @default.
- W3008618063 isRetracted "false" @default.
- W3008618063 magId "3008618063" @default.
- W3008618063 workType "article" @default.