New Approach to Arakelov Geometry
New Approach to Arakelov Geometry
dc.contributor.advisor | Faltings, Gerd | |
dc.contributor.author | Durov, Nikolai | |
dc.date.accessioned | 2020-04-10T16:17:19Z | |
dc.date.available | 2020-04-10T16:17:19Z | |
dc.date.issued | 2007 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/3110 | |
dc.description.abstract | This work is dedicated to a new completely algebraic approach to Arakelov geometry, which doesn't require the variety under consideration to be generically smooth or projective. In order to construct such an approach we develop a theory of generalized rings and schemes, which include classical rings and schemes together with "exotic" objects such as F_1 ("field with one element"), Z_\infty ("real integers"), T (tropical numbers) etc., thus providing a systematic way of studying such objects. This theory of generalized rings and schemes is developed up to construction of algebraic K-theory, intersection theory and Chern classes. Then existence of Arakelov models of algebraic varieties over Q is shown, and our general results are applied to such models. | |
dc.language.iso | eng | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject.ddc | 510 Mathematik | |
dc.title | New Approach to Arakelov Geometry | |
dc.type | Dissertation oder Habilitation | |
dc.publisher.name | Universitäts- und Landesbibliothek Bonn | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.identifier.urn | https://nbn-resolving.org/urn:nbn:de:hbz:5N-11009 | |
ulbbn.pubtype | Erstveröffentlichung | |
ulbbnediss.affiliation.name | Rheinische Friedrich-Wilhelms-Universität Bonn | |
ulbbnediss.affiliation.location | Bonn | |
ulbbnediss.thesis.level | Dissertation | |
ulbbnediss.dissID | 1100 | |
ulbbnediss.date.accepted | 25.06.2007 | |
ulbbnediss.fakultaet | Mathematisch-Naturwissenschaftliche Fakultät | |
dc.contributor.coReferee | Harder, Günter |
Dateien zu dieser Ressource
Das Dokument erscheint in:
-
E-Dissertationen (4077)