Academic Journal
The six-functor formalism for rigid analytic motives
| العنوان: | The six-functor formalism for rigid analytic motives |
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| المؤلفون: | J. Ayoub, M. Gallauer, A. Vezzani |
| المساهمون: | J. Ayoub, M. Gallauer, A. Vezzani |
| بيانات النشر: | Cambridge University Press |
| سنة النشر: | 2022 |
| المجموعة: | The University of Milan: Archivio Istituzionale della Ricerca (AIR) |
| مصطلحات موضوعية: | Settore MAT/02 - Algebra, Settore MAT/03 - Geometria |
| الوصف: | We offer a systematic study of rigid analytic motives over general rigid analytic spaces, and we develop their six-functor formalism. A key ingredient is an extended proper base change theorem that we are able to justify by reducing to the case of algebraic motives. In fact, more generally, we develop a powerful technique for reducing questions about rigid analytic motives to questions about algebraic motives, which is likely to be useful in other contexts as well. We pay special attention to establishing our results without noetherianity assumptions on rigid analytic spaces. This is indeed possible using Raynaud's approach to rigid analytic geometry. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000837119000001; volume:10; firstpage:1; lastpage:182; numberofpages:182; journal:FORUM OF MATHEMATICS. SIGMA; http://hdl.handle.net/2434/808282; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85136148921 |
| DOI: | 10.1017/fms.2022.55 |
| الاتاحة: | http://hdl.handle.net/2434/808282 https://doi.org/10.1017/fms.2022.55 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.190630B4 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1017/fms.2022.55 |
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