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On the Riemann-Roch formula without projective hypothesis
On the Riemann-Roch formula without projective hypothesis (PDF)
On the Riemann-Roch formula without projective hypothesis (Other)
On the Riemann-Roch formula without projective hypothesis (Other)
On the Riemann-Roch formula without projective hypothesis (Other)
On the Riemann-Roch formula without projective hypothesis (Other)
On the Riemann-Roch formula without projective hypothesis (Other)
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.
2
374
2020-11-03
On the Riemann-Roch formula without projective hypothesis
Architecture
Arquitectura
Matemáticas
Mathematics
Navarro Garmendia
José
José Navarro Garmendia
Navarro Garmendia
Alberto
Alberto Navarro Garmendia
00029947
Transactions of the American Mathematical Society