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- W1808866340 abstract "We present three approaches to define the higher etale regulator maps Φr,net : Hret(X,Z(n)) → HrD(X,Z(n)) for regular arithmetic schemes. The first two approaches construct the maps on the cohomology level, while the third construction provides a morphism of complexes of sheaves on the etale site, along with a technical twist that one needs to replace the Deligne-Beilinson cohomology by the analytic Deligne cohomology inspired by the work of Kerr, Lewis, and Muller-Stach. A vanishing statement of infinite divisible torsions under Φr,net is established for r > 2n + 1." @default.
- W1808866340 created "2016-06-24" @default.
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- W1808866340 date "2015-01-01" @default.
- W1808866340 modified "2023-09-27" @default.
- W1808866340 title "On the Construction of Higher etale Regulators" @default.
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- W1808866340 doi "https://doi.org/10.7907/z9bz63z1." @default.
- W1808866340 hasPublicationYear "2015" @default.
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