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• W3197834118 abstract "We address the question of existence of absolutely simple abelian varieties of dimension 2 with everywhere good reduction over quadratic fields. The emphasis will be given to the construction of pairs $(K,C)$, where $K$ is a quadratic number field and $C$ is a genus $2$ curve with everywhere good reduction over $K$. We provide the first infinite sequence of pairs $(K,C)$ where $K$ is a real (complex) quadratic field and $C$ has everywhere good reduction over $K$. Moreover, we show that the Jacobian of $C$ is an absolutely simple abelian variety." @default.
• W3197834118 created "2021-09-13" @default.
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• W3197834118 creator A5071679484 @default.
• W3197834118 date "2021-09-01" @default.
• W3197834118 modified "2023-09-27" @default.
• W3197834118 title "Genus two curves with everywhere good reduction over quadratic fields" @default.
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• W3197834118 hasPublicationYear "2021" @default.
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