Indecomposable polynomials and their spectrum

Indecomposable polynomials and their spectrum

We address some questions concerning indecomposable polynomials and their spectrum. How does the spectrum behave via reduction or specialization, or via a more general ring morphism? Are the indecomposability properties equivalent over a field and over its algebraic closure? How many polynomials are...

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Veröffentlicht in:arXiv.org 2008-11
Hauptverfasser: Bodin, Arnaud, Dèbes, Pierre, Salah Najib
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Sprache:eng
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Fields (mathematics)
Mathematics - Algebraic Geometry
Mathematics - Commutative Algebra
Mathematics - Number Theory
Polynomials
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creator Bodin, Arnaud
Dèbes, Pierre
Salah Najib
description We address some questions concerning indecomposable polynomials and their spectrum. How does the spectrum behave via reduction or specialization, or via a more general ring morphism? Are the indecomposability properties equivalent over a field and over its algebraic closure? How many polynomials are decomposable over a finite field?
doi_str_mv 10.48550/arxiv.0811.4029
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subjects Fields (mathematics)
Mathematics - Algebraic Geometry
Mathematics - Commutative Algebra
Mathematics - Number Theory
Polynomials
title Indecomposable polynomials and their spectrum
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