$F$-thresholds and test ideals of Thom-Sebastiani type polynomials
Commutative Algebra
2020-05-20 v1 Algebraic Geometry
Abstract
We provide a formula for -thresholds of a Thom-Sebastiani type polynomial over a perfect field of prime characteristic. This result extends the formula for the -pure threshold of a diagonal hypersurface. We also compute the first test ideal of Thom-Sebastiani type polynomials. Finally, we apply our result to find hypersurfaces where the log canonical thresholds equals the -pure thresholds for infinitely many prime numbers.
Cite
@article{arxiv.2005.09172,
title = {$F$-thresholds and test ideals of Thom-Sebastiani type polynomials},
author = {Manuel González Villa and Delio Jaramillo-Velez and Luis Núñez-Betancourt},
journal= {arXiv preprint arXiv:2005.09172},
year = {2020}
}
Comments
15 pages, comments welcome