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PreprintarXiv licencearXiv

On the solutions of relative regular holonomic D-modules

  • Teresa Monteiro Fernandes
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Abstract

Let S be a complex curve and let X be a complex manifold. Given a relative regular holonomic DXS-module shm with respect to the projection X× S→ S, we construct an isomorphism between the solution functors respectively on the (relative subanalytic) sheaf of relative tempered holomorphic functions and the sheaf holomorphic solutions on X× S.

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Cite

BibTeXRIS
BibTeX
@misc{fernandes2026solutions,
  title = {{On the solutions of relative regular holonomic D-modules}},
  author = {Teresa Monteiro Fernandes},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01850},
  eprint = {2609.01850},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01850},
}
RIS
TY  - UNPB
TI  - On the solutions of relative regular holonomic D-modules
AU  - Teresa Monteiro Fernandes
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.01850
UR  - https://arxiv.org/abs/2609.01850
AB  - Let S be a complex curve and let X be a complex manifold. Given a relative regular holonomic DXS-module shm with respect to the projection X× S→ S, we construct an isomorphism between the solution functors respectively on the (relative subanalytic) sheaf of relative tempered holomorphic functions and the sheaf holomorphic solutions on X× S.
ER  -