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PreprintarXiv licencearXiv

Compatibility of Perverse Truncation of Ngô Fibrations

Abstract

We study compatibility of perverse truncations for morphisms between Ngô fibrations with rationally smooth total spaces. We show that, under an effective rank inequality, equivariant pullbacks preserve the normalized perverse truncations. Applied to the diagonal, this gives multiplicativity of perverse truncations for Hitchin systems with rationally smooth total spaces.

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BibTeX
@misc{wang2026compatibility,
  title = {{Compatibility of Perverse Truncation of Ngô Fibrations}},
  author = {Bin Wang and Shihao Wang and Chenglong Yu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.39945},
  eprint = {2610.39945},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.39945},
}
RIS
TY  - UNPB
TI  - Compatibility of Perverse Truncation of Ngô Fibrations
AU  - Bin Wang
AU  - Shihao Wang
AU  - Chenglong Yu
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.39945
UR  - https://arxiv.org/abs/2610.39945
AB  - We study compatibility of perverse truncations for morphisms between Ngô fibrations with rationally smooth total spaces. We show that, under an effective rank inequality, equivariant pullbacks preserve the normalized perverse truncations. Applied to the diagonal, this gives multiplicativity of perverse truncations for Hitchin systems with rationally smooth total spaces.
ER  -