تقرير
Loose edges and factorization theorems
| العنوان: | Loose edges and factorization theorems |
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| المؤلفون: | Gwoździewicz, Janusz, Hejmej, Beata, Schober, Bernd |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra |
| الوصف: | 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 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1090/proc/14720 |
| URL الوصول: | http://arxiv.org/abs/1904.04194 |
| رقم الأكسشن: | edsarx.1904.04194 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1090/proc/14720 |
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