Karoubis relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential mapReport as inadecuate



 Karoubis relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map


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We construct a variant of Karoubis relative Chern character for smooth, separated schemes over the ring of integers in a p-adic field and prove a comparison with the rigid syntomic regulator. For smooth projective schemes we further relate the relative Chern character to the etale p-adic regulator via the Bloch-Kato exponential map. This reproves a result of Huber and Kings for the spectrum of the ring of integers and generalizes it to all smooth projective schemes as above.



Author: Georg Tamme

Source: https://archive.org/







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