Truncated Local Uniformization of Formal Integrable Differential Forms

التفاصيل البيبلوغرافية
العنوان: Truncated Local Uniformization of Formal Integrable Differential Forms
المؤلفون: Cano, F., Fernández-Duque, M.
سنة النشر: 2018
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, 14E15, 32S65
الوصف: We prove the existence of Local Uniformization for rational codimension one foliations along rational rank one valuations, in any ambient dimension. This result is consequence of the Truncated Local Uniformization of integrable formal differential $1$-forms, that we also state and prove in the paper. Thanks to the truncated approach, we perform a classical inductive procedure, based both in the control of the Newton Polygon and in the possibility of avoiding accumulations of values, given by the existence of suitable Tschirnhausen transformations.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1808.09067
رقم الانضمام: edsarx.1808.09067
قاعدة البيانات: arXiv