The Ascending Chain Condition for log canonical thresholds on l.c.i. varieties

TL;DR

This paper proves Shokurov's ACC Conjecture for log canonical thresholds on locally complete intersection varieties by leveraging previous results on smooth varieties and the inversion of adjunction.

Contribution

It extends the proof of the ACC Conjecture to locally complete intersection varieties, building on prior work for smooth varieties.

Findings

Confirmed the ACC Conjecture for l.c.i. varieties

Utilized inversion of adjunction in the proof

Extended the class of varieties satisfying the conjecture

Abstract

Shokurov's ACC Conjecture says that the set of all log canonical thresholds on varieties of bounded dimension satisfies the Ascending Chain Condition. This conjecture was proved for log canonical thresholds on smooth varieties in [EM1]. Here we use this result and inversion of adjunction to establish the conjecture for locally complete intersection varieties.