On a conjecture of H. Fang, Z. Lu and K.-I. Yoshikawa

TL;DR

This paper proves a partial version of a conjecture by Fang, Lu, and Yoshikawa, showing that a specific string-theoretic invariant of Calabi-Yau threefolds remains unchanged under certain birational transformations.

Contribution

It provides a proof of a weak form of the conjecture relating string-theoretic invariants and birational equivalence of Calabi-Yau threefolds.

Findings

Proved a weak form of the conjecture.

Established invariance of a string-theoretic invariant under certain conditions.

Contributed to understanding birational invariants in algebraic geometry.

Abstract

A few years ago, Fang, Lu and Yoshikawa conjectured that a certain string-theoretic invariant of Calabi-Yau threefolds is a birational invariant. We prove a weak form of this conjecture.