Holmstrom Arakelov 1 and 2 contents

arakelov-one (in Files 23 Nov)

Intro, statements of results


Preliminaries on the stable homotopy category and six functors

Preliminaries on DM_B

Prelimiaries on Deligne cohomology

Etale descent for Deligne cohom


Construction of a Deligne spectrum, verification that this works. Def of two variants, one H_B-algebra and one BGL-algebra (problem here with the latter?).


Def of Arakelov motivic cohom.

Formal properties including descent and projective bundle formula

Functoriality properties including pushforwards

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arakelov-two (Files 23 Nov)


More prelim, on SH_naive and Grassmannians


Comparison of regulators

Comparison with arithmetic K-theory

Comparison with height pairing


Def of motivic global duality pairing

Properties of the pairing (functoriality, compatibility with duals)

Lemma on log p

nLab page on Arakelov 1 and 2 contents

Created on June 9, 2014 at 21:16:13 by Andreas Holmström