# Decomposing Jacobians via Galois covers.

@article{Lombardo2020DecomposingJV, title={Decomposing Jacobians via Galois covers.}, author={Davide Maria Lombardo and Elisa Lorenzo Garc{\'i}a and Christophe Ritzenthaler and Jeroen Sijsling}, journal={arXiv: Algebraic Geometry}, year={2020} }

Let $\phi:\,X\rightarrow Y$ be a (possibly ramified) cover between two algebraic curves of positive genus. We develop tools that may identify the Prym variety of $\phi$, up to isogeny, as the Jacobian of a quotient curve $C$ in the Galois closure of the composition of $\phi$ with a well-chosen map $Y\rightarrow \mathbb{P}^1$. This method allows us to recover all previously obtained descriptions of a Prym variety in terms of a Jacobian that are known to us, besides yielding new applications. We… CONTINUE READING

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