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"On the Riemann-Roch formula without projective hypothesis"^^ .
"Let S be a finite dimensional noetherian scheme. For any proper morphism between smooth S-schemes, we prove a Riemann-Roch formula relating higher algebraic K-theory and motivic cohomology, thus with no projective hypothesis neither on the schemes nor on the morphism. We also prove, without projective assumptions, an arithmetic Riemann-Roch theorem involving Arakelov?s higher K-theory and motivic cohomology as well as an analogue result for the relative cohomology of a morphism. These results are obtained as corollaries of a motivic statement that is valid for morphisms between oriented absolute spectra in the stable homotopy category of S."^^ .
"2020-11-03" .
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"374" .
"2" .
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"Transactions of the American Mathematical Society"^^ .
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"00029947" .
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"Alberto"^^ .
"Navarro Garmendia"^^ .
"Alberto Navarro Garmendia"^^ .
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"José"^^ .
"Navarro Garmendia"^^ .
"José Navarro Garmendia"^^ .
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"On the Riemann-Roch formula without projective hypothesis (PDF)"^^ .
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"INVE_MEM_2021_338217.pdf"^^ .
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"On the Riemann-Roch formula without projective hypothesis (Other)"^^ .
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"On the Riemann-Roch formula without projective hypothesis (Other)"^^ .
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"On the Riemann-Roch formula without projective hypothesis (Other)"^^ .
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"On the Riemann-Roch formula without projective hypothesis (Other)"^^ .
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"On the Riemann-Roch formula without projective hypothesis (Other)"^^ .
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"indexcodes.txt"^^ .
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"HTML Summary of #67845 \n\nOn the Riemann-Roch formula without projective hypothesis\n\n" .