• 제목/요약/키워드: isotriviality

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REDUCTION OF ABELIAN VARIETIES AND CURVES

  • Moshe Jarden;Aharon Razon
    • 대한수학회지
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    • 제61권3호
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    • pp.515-545
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    • 2024
  • Consider a Noetherian domain R0 with quotient field K0. Let K be a finitely generated regular transcendental field extension of K0. We construct a Noetherian domain R with Quot(R) = K that contains R0 and embed Spec(R0) into Spec(R). Then, we prove that key properties of abelian varieties and smooth geometrically integral projective curves over K are preserved under reduction modulo p for "almost all" p ∈ Spec(R0).