An example of Schwarz map of reducible hypergeometric equation E₂ in two variables
classification
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keywords
hypergeometricreducibleschwarzabel-jacobiadmitsappellconsideredcurves
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We study an Appell hypergeometric system $E_2$ of rank four which is reducible and show that its Schwarz map admits geometric interpretations: the map can be considered as the universal Abel-Jacobi map of a $1$-dimensional family of curves of genus 2.
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