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PreprintCC BY-NC-ND 4.0arXiv

Relative cohomology and base-change

  • Andres Fernandez Herrero
  • Giovanni Inchiostro
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Abstract

In this note we prove a simple generalization of cohomology and base-change which seems to be missing from standard sources. We illustrate its usefulness by providing an alternative proof of a result of Ishimura on descent of vector bundles along blowups at a smooth center.

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Cite

BibTeXRIS
BibTeX
@misc{herrero2026relative,
  title = {{Relative cohomology and base-change}},
  author = {Andres Fernandez Herrero and Giovanni Inchiostro},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05209},
  eprint = {2611.05209},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05209},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Relative cohomology and base-change
AU  - Andres Fernandez Herrero
AU  - Giovanni Inchiostro
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.05209
UR  - https://arxiv.org/abs/2611.05209
AB  - In this note we prove a simple generalization of cohomology and base-change which seems to be missing from standard sources. We illustrate its usefulness by providing an alternative proof of a result of Ishimura on descent of vector bundles along blowups at a smooth center.
ER  -