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arXiv · 2010.12759

Symmetric correspondences with decomposable minimal equation

Elham Izadi·Herbert Lange
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Abstract

We study symmetric correspondences with completely decomposable minimal equation on smooth projective curves $C$. The Jacobian of $C$ then decomposes correspondingly. For all positive integers $g$ and $\ell$, we give series of examples of smooth curves $C$ of genus $n^\ell (g-1) +1$ with correspondences satisfying minimal equations of degree $\ell+1$ such that the Jacobian of $C$ has at least $2^\ell$ isogeny components.

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Elham Izadi, Herbert Lange. 2020-10-24. Symmetric correspondences with decomposable minimal equation. https://arxiv.org/abs/2010.12759

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