---
res:
  bibo_abstract:
  - We prove an asymptotic formula for the number of integral points of bounded log
    anticanonical height on a singular quartic del Pezzo surface over arbitrary number
    fields, with respect to the largest admissible boundary divisor. The resulting
    Clemens complex is more complicated than usual, and leads to particularly interesting
    effective cone constants, associated with exponentially many polytopes whose volumes
    appear in the expected formula. Like a jigsaw puzzle, these polytopes fit together
    to one large polytope. The volume of this polytope appears in the asymptotic formula
    that we obtain using the universal torsor method via o-minimal structures.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Christian
      foaf_name: Bernert, Christian
      foaf_surname: Bernert
      foaf_workInfoHomepage: http://www.librecat.org/personId=aefba9fc-4694-11f0-b73e-8bd408e8f734
  - foaf_Person:
      foaf_givenName: Ulrich
      foaf_name: Derenthal, Ulrich
      foaf_surname: Derenthal
  - foaf_Person:
      foaf_givenName: Judith
      foaf_name: Ortmann, Judith
      foaf_surname: Ortmann
  - foaf_Person:
      foaf_givenName: Florian Alexander
      foaf_name: Wilsch, Florian Alexander
      foaf_surname: Wilsch
      foaf_workInfoHomepage: http://www.librecat.org/personId=560601DA-8D36-11E9-A136-7AC1E5697425
    orcid: 0000-0001-7302-8256
  bibo_doi: 10.1007/s00209-026-04140-2
  bibo_issue: '3'
  bibo_volume: 314
  dct_date: 2026^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0025-5874
  - http://id.crossref.org/issn/1432-1823
  dct_language: eng
  dct_publisher: Springer@
  dct_title: 'Integral points over number fields: a Clemens complex jigsaw puzzle@'
...