On the degree of irrationality of complete intersections

TL;DR

This paper establishes a lower bound on the degree of irrationality for very general complete intersections over the complex numbers, utilizing recent advances and a modified approach involving trace maps of differential modules.

Contribution

It introduces a new lower bound for irrationality degree of complete intersections by adapting existing methods with a trace map technique.

Findings

Lower bound on irrationality degree for complete intersections

Application of trace map of differential modules in the proof

Extension of recent results by Chen--Stapleton

Abstract

We obtain a lower bound of the degree of irrationality of very general complete intersections over the complex field from the recent results of the first author and Chen--Stapleton. For combining these results, we make a minor adjustment of Chen--Stapleton's method using the trace map of differential modules.