تقرير
Yano's conjecture for 2-Puiseux pair irreducible plane curve singularities
| العنوان: | Yano's conjecture for 2-Puiseux pair irreducible plane curve singularities |
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| المؤلفون: | Bartolo, E. Artal, Cassou-Noguès, P., Luengo, I., Melle-Hernández, A. |
| المصدر: | Publ. Res. Inst. Math. Sci. 53 (2017), no. 1, 211-239 |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, 14F10, 32S40, 32S05, 32A30 |
| الوصف: | In 1982, Yano proposed a conjecture predicting the $b$-exponents of an irreducible plane curve singularity which is generic in its equisingularity class. In this article we prove the conjecture for the case of two Puiseux pairs and monodromy with distinct eigenvalues. The hypothesis on the monodromy implies that the $b$-exponents coincide with the opposite of the roots of the Bernstein polynomial, and we compute the roots of the Bernstein polynomial. Comment: 27 pages, to appear in Publications of the Research Institute for Mathematical Sciences |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.4171/PRIMS/53-1-7 |
| URL الوصول: | http://arxiv.org/abs/1602.07248 |
| رقم الأكسشن: | edsarx.1602.07248 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.4171/PRIMS/53-1-7 |
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