TL;DR
This paper presents a counterexample in dimension three that challenges Lynch's conjecture on annihilators of local cohomology modules, providing new insights into the conjecture's limitations.
Contribution
The paper offers the first known counterexample to Lynch's conjecture in dimension three, advancing understanding of local cohomology annihilators.
Findings
Counterexample in dimension three disproves Lynch's conjecture
Highlights limitations of existing conjectures in local cohomology
Provides new directions for research in algebraic geometry
Abstract
This concerns a conjecture of Lynch on annihilators of local cohomology modules; we present a counterexample that has dimension three.
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