# On accumulation points of pseudo-effective thresholds

## TL;DR

This paper characterizes accumulation points of pseudo-effective thresholds in algebraic geometry and applies this to advance Fujita's log spectrum conjecture for higher dimensions.

## Contribution

It provides a new characterization of accumulation points of pseudo-effective thresholds as invariants of lower-dimensional pairs, linking to Fujita's conjecture.

## Key findings

- Characterization of $k$-th accumulation points as invariants of trivial pairs.
- Application of the characterization to Fujita's log spectrum conjecture.
- Progress towards understanding the structure of pseudo-effective thresholds.

## Abstract

We characterize a $k$-th accumulation point of pseudo-effective thresholds of $n$-dimensional varieties as certain invariant associates to a numerically trivial pair of an $(n-k)$-dimensional variety. This characterization is applied towards Fujita's log spectrum conjecture for large $k$.