A variant of the effective adjunction conjecture with applications

TL;DR

This paper introduces a new variant of the effective adjunction conjecture tailored for lc-trivial fibrations, facilitating inductive proofs and handling real coefficients.

Contribution

It proposes a novel variant of the conjecture that improves applicability to inductive methods and real coefficient cases.

Findings

The variant is suitable for inductive proofs.

It can handle real coefficients in lc-trivial fibrations.

Potential applications in algebraic geometry.

Abstract

We propose a variant of the effective adjunction conjecture for lc-trivial fibrations. This variant is suitable for inductions and can be used to treat real coefficients.