Loose edges and factorization theorems

Autor: Janusz Gwoździewicz, Bernd Schober, Beata Gryszka
Rok vydání: 2019
Předmět:
DOI: 10.48550/arxiv.1904.04194
Popis: Let $ R $ be a regular local ring with maximal ideal $ \mathfrak{m} $. We consider elements $ f \in R $ such that their Newton polyhedron has a loose edge. We show that if the symbolic restriction of $f$ to such an edge is a product of two coprime polynomials, then $f$ factorizes in the $ \mathfrak{m} $-adic completion.
Comment: 15 pages, 6 figures, this articles merges and supersedes arxiv:1807.04944 and arxiv:1808.09587
Databáze: OpenAIRE
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