dc.contributor.author
Castillejo Blasco, Pedro Ángel
dc.date.accessioned
2020-07-28T08:03:45Z
dc.date.available
2020-07-28T08:03:45Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/27694
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-27448
dc.description.abstract
We want to understand how the topology of Berkovich spaces varies when we conjugate the non-archimedean base field. After a short introduction with a discussion of the original problem solved by Serre [1964] in the complex setting, we explain some background material about non-archimedean geometry and non-archimedean analytifications. We are able to construct examples of non-homeomorphic conjugate Berkovich spaces by controlling the homotopy type of the Berkovich analytification via its skeleton and its tropicalization. In the appendix we include some useful programs written in SAGE that compute the examples of the last section.
en
dc.format.extent
72 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
arithmetic geometric
en
dc.subject
non-archimedean geometry
en
dc.subject
tropical geometry
en
dc.subject
Berkovich spaces
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::512 Algebra
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::513 Arithmetik
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::516 Geometrie
dc.title
The topology of conjugate Berkovich spaces
dc.contributor.gender
male
dc.contributor.firstReferee
Esnault, Hélène
dc.contributor.furtherReferee
Nicaise, Johannes
dc.date.accepted
2020-06-10
dc.identifier.urn
urn:nbn:de:kobv:188-refubium-27694-4
dc.title.translated
Die Topologie der konjugierten Berkovich-Räume
de
refubium.affiliation
Mathematik und Informatik
dcterms.accessRights.dnb
free
dcterms.accessRights.openaire
open access
dcterms.accessRights.proquest
accept
