{"user_id":"81636","abstract":[{"text":"We develop a theory of tdos and twisted $\\mathcal D$-modules over general\r\nbases with an emphasis on functorial aspects. In particular, we establish a\r\nflat base change theorem as well as faithfully flat descent for twisted\r\n$\\mathcal D$-modules. We define (derived) inverse and direct images of twisted\r\n$\\mathcal D$-modules and investigate how these functors behave under base\r\nchange. We also discuss forms of closed $K$-orbits attached to $\\theta$-stable\r\nparabolic subgroups. These results imply the existence of models of\r\ncohomologically induced modules over general fields of characteristic 0 and\r\neven half-integer rings, whose study is motivated by potential applications to\r\nnumber theory in the literature.","lang":"eng"}],"date_created":"2024-04-03T17:10:19Z","publication":"arXiv:1808.10709","author":[{"full_name":"Hayashi, Takuma","first_name":"Takuma","last_name":"Hayashi"},{"first_name":"Fabian","full_name":"Januszewski, Fabian","last_name":"Januszewski","id":"81636"}],"type":"preprint","_id":"53195","status":"public","page":"170","year":"2023","title":"Families of twisted D-modules and arithmetic models of  Harish-Chandra modules","language":[{"iso":"eng"}],"date_updated":"2024-04-03T17:11:07Z","citation":{"mla":"Hayashi, Takuma, and Fabian Januszewski. “Families of Twisted D-Modules and Arithmetic Models of  Harish-Chandra Modules.” <i>ArXiv:1808.10709</i>, 2023.","apa":"Hayashi, T., &#38; Januszewski, F. (2023). Families of twisted D-modules and arithmetic models of  Harish-Chandra modules. In <i>arXiv:1808.10709</i>.","short":"T. Hayashi, F. Januszewski, ArXiv:1808.10709 (2023).","ama":"Hayashi T, Januszewski F. Families of twisted D-modules and arithmetic models of  Harish-Chandra modules. <i>arXiv:180810709</i>. Published online 2023.","chicago":"Hayashi, Takuma, and Fabian Januszewski. “Families of Twisted D-Modules and Arithmetic Models of  Harish-Chandra Modules.” <i>ArXiv:1808.10709</i>, 2023.","bibtex":"@article{Hayashi_Januszewski_2023, title={Families of twisted D-modules and arithmetic models of  Harish-Chandra modules}, journal={arXiv:1808.10709}, author={Hayashi, Takuma and Januszewski, Fabian}, year={2023} }","ieee":"T. Hayashi and F. Januszewski, “Families of twisted D-modules and arithmetic models of  Harish-Chandra modules,” <i>arXiv:1808.10709</i>. 2023."},"external_id":{"arxiv":["1808.10709"]}}