دورية أكاديمية
Geometry of nondegenerate polynomials: Motivic nearby cycles and Cohomology of contact loci
| العنوان: | Geometry of nondegenerate polynomials: Motivic nearby cycles and Cohomology of contact loci |
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| المؤلفون: | Lê, Quy Thuong, Nguyen, Tat Thang |
| المصدر: | Comptes Rendus. Mathématique, Vol 361, Iss G8, Pp 1249-1266 (2023) |
| بيانات النشر: | Académie des sciences, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | arc spaces, contact loci, motivic zeta function, motivic Milnor fiber, motivic nearby cycles, Newton polyhedron, nondegeneracy, sheaf cohomology with compact support, Mathematics, QA1-939 |
| الوصف: | We study polynomials with complex coefficients which are nondegenerate in two senses, one of Kouchnirenko and the other with respect to its Newton polyhedron, through data on contact loci and motivic nearby cycles. Introducing an explicit description of these quantities we can answer in part the question concerning the motivic nearby cycles of restriction functions in the context of Newton nondegenerate polynomials. Furthermore, in the nondegeneracy in the sense of Kouchnirenko, we give calculations on cohomology groups of the contact loci. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English French |
| تدمد: | 1778-3569 |
| Relation: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.492/; https://doaj.org/toc/1778-3569 |
| DOI: | 10.5802/crmath.492 |
| URL الوصول: | https://doaj.org/article/5dbd779162064b06bcffd8599b650288 |
| رقم الأكسشن: | edsdoj.5dbd779162064b06bcffd8599b650288 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 17783569 |
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| DOI: | 10.5802/crmath.492 |