Mather-Jacobian multiplier ideals on toric varieties

TL;DR

This paper derives a formula for Mather-Jacobian multiplier ideals on toric varieties, extending known results for monomial ideals in polynomial rings to a broader class of toric varieties.

Contribution

It generalizes Howald's formula to compute Mather-Jacobian multiplier ideals on possibly non-normal toric varieties.

Findings

Provides a new explicit formula for Mather-Jacobian multiplier ideals on toric varieties.

Extends the applicability of multiplier ideal computations beyond normal toric varieties.

Bridges the gap between classical and Mather-Jacobian multiplier ideals in toric geometry.

Abstract

This paper provides a formula for the Mather-Jacobian multiplier ideals of torus invariant ideals on (not necessarily normal) toric varieties that generalizes Howald's formula for the multiplier ideal of monomial ideals in a polynomial ring.