Pith. sign in

REVIEW 1 cited by

Rational powers, invariant ideals, and the summation formula

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2402.12350 v3 pith:N2J4FPRQ submitted 2024-02-19 math.AC

Sankhaneel Bisui , Sudipta Das , Tài Huy Hà , Jonathan Montaño This is my paper · ORCID
classification math.AC
keywords idealsrationalformulapowersholdsinvariantsummationversion
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We provide explicit descriptions for the rational powers and Rees valuations of several classes of ideals invariant under natural actions of tori and products of general linear groups, in terms of polyhedra and lattice points. This allows us to show that a version of Musta\c{t}\u{a}-Takagi's summation formula for multiplier ideals also holds for the rational powers of these ideals. Moreover, for arbitrary ideals in normal domains that are finitely generated over algebraically closed fields, we prove a weaker version of this formula that holds for sufficiently large rational numbers.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Degree functions of graded families of ideals

    math.AC 2025-06 conditional novelty 6.0 of 10

    Multiplicities and degree functions of graded families of ideals are expressed as limits of intersection products, with a closed formula for Q-divisorial filtrations in dimension 2.

Pith tools