Skip to content
DraconiticResearch
Search Sources API
197,788 studies31 sourcesUpdated 43 min ago
PreprintCC BY 4.0arXiv

Local stability of Frobenius and Artin--Schreier base-change: a comparison

  • Quentin Posva
Open at sourcePDFDOICite

Abstract

Let (X,Δ)→ C be a family of pairs over a smooth curve in positive characteristic p>0. We study the discrepancies of divisors over the base-change (X,Δ)→ C along Artin--Schreier and Frobenius covers of C, through ramification data for Artin--Schreier and degree p purely inseparable extensions of DVRs. As an application, we recover a result of Hu and Zong about permanence of local stability for such base-change.

Related

  1. Twisted Artin-Schreier Theory I: (Cp rtimes Cp−1)-extensions of local function fields
    Béranger Seguin
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  2. Finite Local Rings Free of Rank Three over Zpn: Radical Filtrations, Matrix Models, and the Frobenius Property
    Sami H. Saif, Yousef Alkhamees
    AxiomsPeer-reviewedCC BY 4.0Algebra & number theoryCrossref
  3. Local Optimality and Rigidity of Frobenius Tests for Dense High-Dimensional Covariance Alternatives
    Peter Reinhard Hansen, Werner Ploberger, Chen Tong
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
  4. Independent Frobenius Coordinates and a Prescribed Formal-Local Spectral Map for Generic GSp4
    Lin Tao
    ZenodoPreprintCC BY 4.0Full textAlgebra & number theoryZenodo
  5. Schreier Sets of Intervals, Super-Schreier Sets, and Catalan Numbers
    Hung Viet Chu, Mariam Khaduri, Moiz M. Khokhar +1
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{posva2026local,
  title = {{Local stability of Frobenius and Artin--Schreier base-change: a comparison}},
  author = {Quentin Posva},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.24256},
  eprint = {2608.24256},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.24256},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Local stability of Frobenius and Artin--Schreier base-change: a comparison
AU  - Quentin Posva
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2608.24256
UR  - https://arxiv.org/abs/2608.24256
AB  - Let (X,Δ)→ C be a family of pairs over a smooth curve in positive characteristic p>0. We study the discrepancies of divisors over the base-change (X,Δ)→ C along Artin--Schreier and Frobenius covers of C, through ramification data for Artin--Schreier and degree p purely inseparable extensions of DVRs. As an application, we recover a result of Hu and Zong about permanence of local stability for such base-change.
ER  -