Karoubi’s relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map
- Publication type:
- Journal article
- Metadata:
-
- Abstract
- <jats:title>Abstract</jats:title><jats:p>We construct a variant of Karoubi’s relative Chern character for smooth separated schemes over the ring of integers in a <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S2050509414000218_inline1" /><jats:tex-math>$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}p$</jats:tex-math></jats:alternatives></jats:inline-formula>-adic field, and prove a comparison with the rigid syntomic regulator. For smooth projective schemes, we further relate the relative Chern character to the étale <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S2050509414000218_inline2" /><jats:tex-math>$p$</jats:tex-math></jats:alternatives></jats:inline-formula>-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.</jats:p>
- Autoren
- GEORG TAMME
- DOI
- 10.1017/fms.2014.21
- eISSN
- 2050-5094
- Zeitschrift
- Forum of Mathematics, Sigma
- Sprache
- en
- Artikelnummer
- e20
- Online publication date
- 2014
- Datum der Veröffentlichung
- 2014
- Status
- Published
- Herausgeber
- Cambridge University Press (CUP)
- Herausgeber URL
- http://dx.doi.org/10.1017/fms.2014.21
- Datum der Datenerfassung
- 2019
- Titel
- KAROUBI’S RELATIVE CHERN CHARACTER, THE RIGID SYNTOMIC REGULATOR, AND THE BLOCH–KATO EXPONENTIAL MAP
- Ausgabe der Zeitschrift
- 2
Data source: Crossref
- Other metadata sources:
-
- Autoren
- Georg Tamme
- DOI
- 10.1017/fms.2014.21
- Zeitschrift
- Forum of Mathematics. Sigma
- Notes
- mrclass: 19F27 (14F30 14F43) mrnumber: 3264260 mrreviewer: Claudio Pedrini
- Paginierung
- Paper No. e20 - 39
- Datum der Veröffentlichung
- 2014
- Herausgeber URL
- https://doi.org/10.1017/fms.2014.21
- Datum der Datenerfassung
- 2023
- Titel
- Karoubi’s relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map
- Sub types
- article
- Ausgabe der Zeitschrift
- 2
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