Academic Journal
Resolving singularities of curves with one toric morphism
| العنوان: | Resolving singularities of curves with one toric morphism |
|---|---|
| المؤلفون: | Felipe, Ana Belén de, González Pérez, Pedro Daniel, Mourtada, Hussein |
| بيانات النشر: | Springer Nature |
| سنة النشر: | 2022 |
| المجموعة: | Universidad Complutense de Madrid (UCM): E-Prints Complutense |
| مصطلحات موضوعية: | 512.7, Divisorial valuations, Curve singularities, Generating sequences, Resolution of singularities, Toric geometry, Local tropicalization, Torific embedding, Geometria algebraica, 1201.01 Geometría Algebraica |
| الوصف: | CRUE-CSIC (Acuerdos Transformativos 2022) ; We give an explicit positive answer, in the case of reduced curve singularities, to a question of B. Teissier about the existence of a toric embedded resolution after reembedding. In the case of a curve singularity pC,Oq contained in a non singular surface S such a reembedding may be defined in terms of a sequence of maximal contact curves associated to C. We prove that there exists a toric modification, after reembedding, which provides an embedded resolution of C. We use properties of the semivaluation space of S at O to describe how the the dual graph of the minimal embedded resolution of C may be seen on the local tropicalization of S associated to this reembedding. ; Depto. de Álgebra, Geometría y Topología ; Fac. de Ciencias Matemáticas ; TRUE ; Ministerio de Ciencia e Innovación (MICINN); MCIN/AEI/10.13039/501100011033 ; Centro de Excelencia Severo Ochoa ; Gobierno Vasco ; Agence Nationale de la Recherche (ANR) ; pub |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1432-1807 |
| Relation: | PID2019- 105896GB-I00; MTM2016-76868-C2-1-P; MTM2016-80659-P; SEV-2017-0718; BERC 2018-2021; ANR-17-CE40-0023; https://doi.org/10.1007/s00208-022-02504-7; https://hdl.handle.net/20.500.14352/71921 |
| DOI: | 10.1007/s00208-022-02504-7 |
| الاتاحة: | https://hdl.handle.net/20.500.14352/71921 https://doi.org/10.1007/s00208-022-02504-7 |
| Rights: | Atribución 3.0 España ; open access ; https://creativecommons.org/licenses/by/3.0/es/ |
| رقم الانضمام: | edsbas.C38A524D |
| قاعدة البيانات: | BASE |
| تدمد: | 14321807 |
|---|---|
| DOI: | 10.1007/s00208-022-02504-7 |