---
_id: '53195'
abstract:
- lang: eng
  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."
author:
- first_name: Takuma
  full_name: Hayashi, Takuma
  last_name: Hayashi
- first_name: Fabian
  full_name: Januszewski, Fabian
  id: '81636'
  last_name: Januszewski
citation:
  ama: Hayashi T, Januszewski F. Families of twisted D-modules and arithmetic models
    of  Harish-Chandra modules. <i>arXiv:180810709</i>. Published online 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>.
  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} }'
  chicago: Hayashi, Takuma, and Fabian Januszewski. “Families of Twisted D-Modules
    and Arithmetic Models of  Harish-Chandra Modules.” <i>ArXiv:1808.10709</i>, 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.
  mla: Hayashi, Takuma, and Fabian Januszewski. “Families of Twisted D-Modules and
    Arithmetic Models of  Harish-Chandra Modules.” <i>ArXiv:1808.10709</i>, 2023.
  short: T. Hayashi, F. Januszewski, ArXiv:1808.10709 (2023).
date_created: 2024-04-03T17:10:19Z
date_updated: 2024-04-03T17:11:07Z
external_id:
  arxiv:
  - '1808.10709'
language:
- iso: eng
page: '170'
publication: arXiv:1808.10709
status: public
title: Families of twisted D-modules and arithmetic models of  Harish-Chandra modules
type: preprint
user_id: '81636'
year: '2023'
...