Multiplier ideal sheaves and the K\"ahler-Ricci flow on toric Fano manifolds with large symmetry

TL;DR

This paper calculates the support of multiplier ideal sheaves arising from the K"ahler-Ricci flow on highly symmetric toric Fano manifolds, extending previous ideas to specific geometric contexts.

Contribution

It provides explicit calculations of multiplier ideal sheaves' support for the K"ahler-Ricci flow on certain toric Fano manifolds with large symmetry.

Findings

Support of multiplier ideal sheaves determined for specific toric Fano manifolds

Extension of previous ideas to new geometric settings

Enhanced understanding of K"ahler-Ricci flow behavior

Abstract

The purpose of this paper is to calculate the support of the multiplier ideal sheaves derived from the K\"ahler-Ricci flow on certain toric Fano manifolds with large symmetry. The early idea of this paper has already been in Appendix of \cite{futaki-sano0711}.