TL;DR
This paper introduces a cohomology approach based on the canonical trace on C*-algebras to prove an analog of the Riemann Hypothesis for Kuga-Sato varieties over finite fields.
Contribution
It revisits trace cohomology to establish a new proof of the Riemann Hypothesis analog for specific algebraic varieties.
Findings
Proves an analog of the Riemann Hypothesis for Kuga-Sato varieties
Develops a cohomology theory from C*-algebra traces
Links trace cohomology with algebraic geometry results
Abstract
We use a cohomology theory coming from the canonical trace on a C*-algebra of the projective variety to prove an analog of the Riemann Hypothesis for the Kuga-Sato varieties over finite fields.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Operator Algebra Research