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<p>We use a cohomology theory coming from the canonical trace on a <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="43034_2025_414_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\(C^*\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mo>∗</mo> </msup> </math></EquationSource> </InlineEquation>-algebra of the projective variety to prove an analog of the Riemann Hypothesis for the Kuga–Sato varieties.</p>

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Trace cohomology revisited

  • 期刊论文

  • 发表日期：

    2025年2月27日

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  • Igor V. Nikolaev

摘要

We use a cohomology theory coming from the canonical trace on a \(C^*\) C ∗ -algebra of the projective variety to prove an analog of the Riemann Hypothesis for the Kuga–Sato varieties.