On the reduction modulo \(p\) of an absolutely irreducible polynomial \(f(x,y)\)

DOI10.1007/s000130050041zbMath0977.11011OpenAlexW2058177166MaRDI QIDQ1359084

Umberto Zannier

Publication date: 26 March 1998

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050041

zbMATH Keywords

polynomialsabsolute irreducibilitydiscrete valuation ringsJFM 47.0067.03reduction modulo a prime

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09)

Related Items (9)

Families of polynomials and their specializations ⋮ Modular Las Vegas algorithms for polynomial absolute factorization ⋮ On pseudopoints of algebraic curves ⋮ Irreducibility of polynomials modulo \(p\) via Newton polytopes. ⋮ On some notions of good reduction for endomorphisms of the projective line ⋮ Good reduction of certain covers \(\mathbb{P}^1\to\mathbb{P}^1\) ⋮ On Functional Graphs of Quadratic Polynomials ⋮ Reducibility of polynomials \(f(x,y)\) modulo \(p\) ⋮ Control of the non-geometrically integral reductions

Cites Work

• Unnamed Item
• Unnamed Item
• Bewertungssysteme und Zetafunktionen algebraischer Funktionenkörper. I
• Ramified primes in the field of moduli of branched coverings of curves
• Equations over finite fields. An elementary approach
• On a conjecture of Schur
• Reduktion algebraischer Funktionenkörper nach Primdivisoren des Konstantenkörpers
• Reduzibilität ebener Kurven.
• Eisenstein's theorem on power series expansions of algebraic functions
• On Natural Radii of p-Adic Convergence
• An Introduction to "G"-Functions. (AM-133)

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