# Log canonical thresholds of generic links of determinantal varieties

## TL;DR

This paper proves that the log canonical threshold remains unchanged when passing from a generic determinantal variety to its generic link, revealing a new invariance property in algebraic geometry.

## Contribution

It establishes the equality of log canonical thresholds between a generic determinantal variety and its generic link, a novel result in the study of algebraic invariants.

## Key findings

- Log canonical thresholds are equal for generic determinantal varieties and their links.
- Provides new insights into the invariance of algebraic singularity measures.
- Advances understanding of the relationship between determinantal varieties and their links.

## Abstract

We show that the log canonical threshold of a generic determinantal variety and its generic link are the same.