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<p>We prove, under a natural semisimplicity hypothesis, the equivariant Tamagawa number conjecture for log <i>F</i>-crystals over finite unramified Galois extensions of varieties over finite fields of characteristic <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(p&gt;0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>&gt;</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>.</p>

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On the geometric equivariant Tamagawa number conjecture in characteristic \(p>0\)

  • 期刊论文

  • 发表日期：

    2026年6月20日

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  • Fabien Trihan

摘要

We prove, under a natural semisimplicity hypothesis, the equivariant Tamagawa number conjecture for log F-crystals over finite unramified Galois extensions of varieties over finite fields of characteristic \(p>0\) p > 0 .