TL;DR
This paper proves a specific case of Dao-Kurano's conjecture related to Hochster's theta pairing vanishing, utilizing Adams operations on topological K-theory and perfect complexes.
Contribution
It introduces a novel proof for a special case of the Dao-Kurano conjecture using Adams operations in K-theory.
Findings
Confirmed a special case of the Dao-Kurano conjecture
Applied Adams operations to topological K-theory and perfect complexes
Provided new techniques for studying Hochster's theta pairing
Abstract
We prove a special case of a conjecture of Dao-Kurano concerning the vanishing of Hochster's theta pairing. The proof uses Adams operations on both topological -theory and perfect complexes with support.
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