Ideals of pe-th roots of plane curves in positive characteristic

Authors

Keywords:

test ideals, F-jumping numbers, quasi-homogeneous plane curve, constant Milnor number deformations

Abstract

A common approach to studying algebraic varieties is through algebraic invariants that measure their singularities. Over the complex numbers, a celebrated example of such invariants include the multiplier ideals and the jumping numbers. In positive characteristic, their counterparts are the test ideals and F-jumping numbers. In this work, we compute the test ideals and F-jumping numbers of quasi-homogeneous plane curves, as well as their one-monomial constant Milnor number deformations, for infinitely many characteristics p > 0. In these cases, we see that the test ideals are the modulo p reduction of the multiplier ideals.

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Published

2025-12-04

How to Cite

López Sancha, P. (2025). Ideals of <i>p</i><sup>e</sup>-th roots of plane curves in positive characteristic. Reports@SCM, 10(1), 51–61. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/155260

Issue

Vol. 10 No. 1 (2025)

Section

Articles

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