Product theorem on delta invariants via adding a general boundary

TL;DR

This paper proves a product theorem for delta invariants of Fano varieties using a new approach involving adding a general boundary, which relates to their K-stability.

Contribution

It introduces a novel proof of the product theorem for delta invariants by leveraging the effect of adding a general boundary on K-stability.

Findings

Reproved the product theorem for delta invariants of Fano varieties.

Established a connection between adding a general boundary and K-stability.

Provided a new perspective on the behavior of delta invariants under boundary modifications.

Abstract

It's well-known that adding a general boundary would create K-stability. As an application, we reprove product theorem for delta invariants of Fano varieties.