Peskine and Szpiro's Dimension inequality holds over local rings of depth at most one

Abstract

We prove that the general version---the one that includes the dimension of the tensor product---of Peskine and Szpiro's Dimension Inequality holds over noetherian local rings of depth at most one.

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BibTeX RIS

BibTeX

@misc{christensen2026peskine,
  title = {{Peskine and Szpiro's Dimension inequality holds over local rings of depth at most one}},
  author = {Lars Winther Christensen and Saeed Nasseh},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.03871},
  eprint = {2610.03871},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.03871},
}

RIS

TY  - UNPB
TI  - Peskine and Szpiro's Dimension inequality holds over local rings of depth at most one
AU  - Lars Winther Christensen
AU  - Saeed Nasseh
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.03871
UR  - https://arxiv.org/abs/2610.03871
AB  - We prove that the general version---the one that includes the dimension of the tensor product---of Peskine and Szpiro's Dimension Inequality holds over noetherian local rings of depth at most one.
ER  -

Abstract

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