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Chow groups of zero- and one-cycles on schemes over local fields and henselian discrete valuation rings

Lüders, Morten (2018) Chow groups of zero- and one-cycles on schemes over local fields and henselian discrete valuation rings. PhD, Universität Regensburg.

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Date of publication of this fulltext: 28 Jun 2018 12:40

Abstract (German)

In dieser Dissertation studieren wir drei Vermutungen von Kerz, Esnault und Wittenberg zu Restriktionsabbildungen für relative Nullzykel auf glatten projektiven Schemata über henselschen diskreten Bewertungsringen. Das Thema der ersten beiden Vermutungen ist eine Basiswechseleigenschaft mit endlichen Koeffizienten, die prim zur Restklassencharakteristik der Basis sind, für sogenannte höhere ...

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Translation of the abstract (English)

In this thesis, we study three conjectures by Kerz, Esnault and Wittenberg on restriction maps for relative zero-cycles on smooth projective schemes over henselian discrete valuation rings. The first two concern base change properties with finite coefficients prime to the residue characteristic of the base for higher zero-cycles and zero-cycles with coefficients in Milnor K-theory. The last one ...

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Item type:Thesis of the University of Regensburg (PhD)
Date:28 June 2018
Referee:Prof. Dr. Moritz Kerz
Date of exam:14 February 2018
Institutions:Mathematics > Prof. Dr. Moritz Kerz
Keywords:Chow groups, zero-cycles, cycle class maps
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:37431
Owner only: item control page

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