---
res:
  bibo_abstract:
  - <jats:title>Abstract</jats:title><jats:p>Affine Bruhat–Tits buildings are geometric
    spaces extracting the combinatorics of algebraic groups. The building of  parameterizes
    flags of subspaces/lattices in or, equivalently, norms on a fixed finite‐dimensional
    vector space, up to homothety. It has first been studied by Goldman and Iwahori
    as a piecewise‐linear analogue of symmetric spaces. The space of seminorms compactifies
    the space of norms and admits a natural surjective restriction map from the Berkovich
    analytification of projective space that factors the natural tropicalization map.
    Inspired by Payne's result that the analytification is the limit of all tropicalizations,
    we show that the space of seminorms is the limit of all tropicalized <jats:italic>linear</jats:italic>
    embeddings  and prove a faithful tropicalization result for compactified linear
    spaces. The space of seminorms is in fact the tropical linear space associated
    to the universal realizable valuated matroid.</jats:p>@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Luca
      foaf_name: Battistella, Luca
      foaf_surname: Battistella
  - foaf_Person:
      foaf_givenName: Kevin
      foaf_name: Kühn, Kevin
      foaf_surname: Kühn
  - foaf_Person:
      foaf_givenName: Arne
      foaf_name: Kuhrs, Arne
      foaf_surname: Kuhrs
  - foaf_Person:
      foaf_givenName: Martin
      foaf_name: Ulirsch, Martin
      foaf_surname: Ulirsch
      foaf_workInfoHomepage: http://www.librecat.org/personId=114697
  - foaf_Person:
      foaf_givenName: Alejandro
      foaf_name: Vargas, Alejandro
      foaf_surname: Vargas
  bibo_doi: 10.1112/jlms.12850
  bibo_issue: '1'
  bibo_volume: 109
  dct_date: 2023^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0024-6107
  - http://id.crossref.org/issn/1469-7750
  dct_language: eng
  dct_publisher: Wiley@
  dct_title: Buildings, valuated matroids, and tropical linear spaces@
...