Fujita's conjecture on iterated accumulation points of pseudo-effective thresholds

TL;DR

This paper proves bounds on the iterated accumulation points of pseudo-effective thresholds for n-dimensional varieties, showing they are limited by a linear function of the dimension and iteration level.

Contribution

It establishes a new boundedness result for the iterated accumulation points of pseudo-effective thresholds in algebraic geometry.

Findings

k-th iterated accumulation points are bounded by n-k+1

Provides a new understanding of the structure of pseudo-effective thresholds

Advances the theory of algebraic varieties and their thresholds

Abstract

We show that $k$-th iterated accumulation points of pseudo-effective thresholds of $n$-dimensional varieties are bounded by $n-k+1$.