Reducibility mod \(p\) of hypersurfaces in projective spaces -- an application of arithmetic Bézout

DOI10.1006/JNTH.2000.2520zbMath0964.14022OpenAlexW2007246456MaRDI QIDQ1590271

Reinie Erné

Publication date: 1 January 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2520

zbMATH Keywords

arithmetic Bezout theorem

Mathematics Subject Classification ID

Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Global ground fields in algebraic geometry (14G25) Hypersurfaces and algebraic geometry (14J70) Relevant commutative algebra (14A05)

Related Items (2)

Non-reduced fibers of an arithmetic scheme ⋮ Points entiers et théorèmes de Bertini arithmétiques. (Integral points and arithmetic Bertini theorems)

Cites Work

• Unnamed Item
• Théoremes de Bertini et applications
• Equations over finite fields. An elementary approach
• Reducibility of polynomials \(f(x,y)\) modulo \(p\)
• Intrinsic heights of stable varieties and abelian varieties
• Heights of Projective Varieties and Positive Green Forms

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