English

F-invariants of diagonal hypersurfaces

Commutative Algebra 2011-12-13 v1

Abstract

In this note, we derive a formula for the F-pure threshold of diagonal hypersurfaces over a perfect field of prime characteristic. We also calculate the associated test ideal at the F-pure threshold, and give formulas for higher jumping numbers of Fermat hypersurfaces.

Keywords

Cite

@article{arxiv.1112.2425,
  title  = {F-invariants of diagonal hypersurfaces},
  author = {Daniel J. Hernández},
  journal= {arXiv preprint arXiv:1112.2425},
  year   = {2011}
}

Comments

11 pages. Comments welcome!

R2 v1 2026-06-21T19:49:30.629Z