Completely Decomposable Jacobian Varieties in New Genera

Abstract

We present a new technique to study Jacobian variety decompositions using subgroups of the automorphism group of the curve and the corresponding intermediate covers. In particular, this new method allows us to produce many new examples of genera for which there is a curve with completely decomposable Jacobian. These examples greatly extend the list given by… (More)
DOI: 10.1080/10586458.2016.1199981

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