Report
Non-archimedean integrals as limits of complex integrals
| العنوان: | Non-archimedean integrals as limits of complex integrals |
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| المؤلفون: | Ducros, A., Hrushovski, E., Loeser, F. |
| المصدر: | Duke Mathematical Journal 172, 313-386 (2023) |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Mathematics - Logic, 14G22, 03C98 (Primary) 03C20, 14T05 (Secondary) |
| الوصف: | We explain how non-archimedean integrals considered by Chambert-Loir and Ducros naturally arise in asymptotics of families of complex integrals. To perform this analysis we work over a non-standard model of the field of complex numbers, which is endowed at the same time with an archimedean and a non-archimedean norm. Our main result states the existence of a natural morphism between bicomplexes of archimedean and non-archimedean forms which is compatible with integration. Comment: 69 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1215/00127094-2022-0052 |
| URL الوصول: | http://arxiv.org/abs/1912.09162 |
| رقم الانضمام: | edsarx.1912.09162 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1215/00127094-2022-0052 |
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