Presentation Independence of Ambient Adjoint Cartier Algebras
Manuscript 3 October 2026 · Online 3 October 2026
Abstract
Let R=S/I be an integral algebra of finite type over a perfect field of characteristic p>0, with S polynomial and I of height c. We give a direct proof that restriction to R of degree-e Cartier maps with coefficients in Ic(pe−1) is independent of the polynomial presentation, in every degree. A dummy-variable coefficient identity and common graph presentations compare arbitrary polynomial embeddings. Ideal-pair twists are independent of ambient lifts. The resulting Cartier algebras and their test ideals localize and glue without a Q-Gorenstein assumption. We explain the established comparison with Mather–Jacobian multiplier ideals for each fixed rational-exponent pair over an algebraically closed characteristic-zero field, after reduction to sufficiently general closed fibres.
Record
- Affiliation
- Mercury Software GmbH
- Contact
- [email protected] · GitHub
- Result
- Presentation-independence theorem
- Categories
- math.AC · math.AG
- Manuscript
- 3 October 2026
- Online release
- 3 October 2026
- Version
- 1.0
- License
- Creative Commons Attribution 4.0 International
Files and verification
The PDF is the canonical reading copy. The source archive contains the LaTeX manuscript, bibliography, reproducibility material, and audit documents without build artefacts.
Citation
Alper Ferudun, “Presentation Independence of Ambient Adjoint Cartier Algebras,” EulerSolve Research Papers, AIM-ALGEBRAIC_GEOMETRY-0289, 2026. https://doi.org/10.5281/zenodo.23115591.
BibTeX
@misc{Ferudun2026CartierPresentation,
author = {Ferudun, Alper},
title = {Presentation Independence of Ambient Adjoint Cartier Algebras},
year = {2026},
howpublished = {EulerSolve Research Papers},
url = {https://eulersolve.org/papers/aim-algebraic-geometry-0289/},
doi = {10.5281/zenodo.23115591},
note = {AIM-ALGEBRAIC_GEOMETRY-0289; unrefereed preprint}
}