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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.5
- 수록면
- 515 - 545 (31page)
- DOI
- 10.4134/JKMS.j230367
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초록· 키워드
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Consider a Noetherian domain $R_0$ with quotient field $K_0$. Let $K$ be a finitely generated regular transcendental field extension of $K_0$. We construct a Noetherian domain $R$ with $\Quot(R)=K$ that contains $R_0$ and embed $\Spec(R_0)$ 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 $\frp$ for ``almost all'' $\frp\in\Spec(R_0)$.
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