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- W2431347360 abstract "Let X be a smooth projective curve of genus g over a finite field F_q of characteristic p. Consider primes l different from p. We formulate some questions related to a well known counting formula of Drinfeld. Drinfeld counts rank 2, irreducible l-adic sheaves on the base change X_n of X to F_{q^n} as n varies. We would like to count rank 2, irreducible mod l sheaves on X_n as n varies. Drinfeld's l-adic count gives an upper bound for the mod l count. We conjecture that Drinfeld's count is the correct asymptotic for the count of rank 2, irreducible mod l sheaves on X_n as n varies with (n,ell)=1." @default.
- W2431347360 created "2016-06-24" @default.
- W2431347360 creator A5003094048 @default.
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- W2431347360 date "2016-06-11" @default.
- W2431347360 modified "2023-09-27" @default.
- W2431347360 title "Number of irreducible mod l rank 2 sheaves on curves over finite fields" @default.
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