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- W1796190011 abstract "In this paper we construct infinitely many Shimura curves contained in the locus of Jacobians of genus four curves. All Jacobians in these families are ${mathbb Z}/3$ covers of varying elliptic curves that appear in a geometric construction of Pirola, and include an example of a Shimura-Teichmuller curve that parameterizes Jacobians that are suitable ${mathbb Z}/6$ covers of ${mathbb P}^1$. We compute explicitly the period matrices of the Shimura curves we construct using the original construction of Shimura for moduli spaces of abelian varieties with automorphisms." @default.
- W1796190011 created "2016-06-24" @default.
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- W1796190011 date "2015-10-19" @default.
- W1796190011 modified "2023-10-05" @default.
- W1796190011 title "Explicit formulas for infinitely many Shimura curves in genus 4" @default.
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