---
res:
  bibo_abstract:
  - We formulate and prove an analog of Poonen’s finite-field Bertini theorem with
    Taylor conditions that holds in the Grothendieck ring of varieties. This gives
    a broad generalization of the work of Vakil and Wood, who treated the case of
    smooth hypersurface sections, and is made possible by the use of motivic Euler
    products to write down candidate motivic probabilities. As applications, we give
    motivic analogs of many results in arithmetic statistics that have been proven
    using Poonen’s sieve, including work of Bucur and Kedlaya on complete intersections
    and Erman and Wood on semiample Bertini theorems.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Margaret
      foaf_name: Bilu, Margaret
      foaf_surname: Bilu
      foaf_workInfoHomepage: http://www.librecat.org/personId=98C47862-10D5-11EA-BEDD-0F6F3DDC885E
  - foaf_Person:
      foaf_givenName: Sean
      foaf_name: Howe, Sean
      foaf_surname: Howe
  bibo_doi: 10.2140/ant.2021.15.2195
  bibo_issue: '9'
  bibo_volume: 15
  dct_date: 2021^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1937-0652
  - http://id.crossref.org/issn/1944-7833
  dct_language: eng
  dct_publisher: Mathematical Sciences Publishers@
  dct_subject:
  - Algebra and Number Theory
  dct_title: Motivic Euler products in motivic statistics@
...