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subj: etale covers of line bundles on an abelian variety

Is there an explicit decryption of finite etale covers of a line bundle $L$ on an abelian variety and its associated C*-bundles $L^* L^o = L \setminus A\times {0}$ (i.e. the C*-bundle $L^*$ L^o$is$L$without the zero section) ? Pull-back along multiplication by$n$map$n:A\rightarrow A$gives a pull-back$n^*_A L' \rightarrow L$. A tensor power map$L'\mapsto L'^{\otimes n}$gives rise to an etale map of C*-bundles$L^* L^o \rightarrow L'^{\otimes L^{o\otimes n}$, and thus if$L$happens to be a tensor power, to an etale cover of L.$L^o$. Can we obtain all etale covers of$L^*$L^o$ this way ?

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# etale covers of line bundles on an abelian variety

subj: etale covers of line bundles on an abelian variety

Is there an explicit decryption of finite etale covers of a line bundle $L$ on an abelian variety and its associated C*-bundles $L^* = L \setminus A\times {0}$ (i.e. the C*-bundle $L^*$ is $L$ without the zero section) ?

Pull-back along multiplication by $n$ map $n:A\rightarrow A$ gives a pull-back $n^*_A L' \rightarrow L$. A tensor power map $L'\mapsto L'^{\otimes n}$ gives rise to an etale map of C*-bundles
$L^* \rightarrow L'^{\otimes n}$, and thus if $L$ happens to be a tensor power, to an etale cover of L.

Can we obtain all etale covers of $L^*$ this way ?