Pointwise surjective presentations of stacks

Avraham Aizenbud, Nir Avni*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We show that any stack (Formula presented.) of finite type over a Noetherian scheme has a presentation (Formula presented.) by a scheme of finite type such that (Formula presented.) is onto, for every finite or real closed field F. Under some additional conditions on (Formula presented.) we show the same for all perfect fields. We prove similar results for (some) Henselian rings. We give two applications of the main result. One is to counting isomorphism classes of stacks over the rings (Formula presented.) the other is about the relation between real algebraic and Nash stacks.

Original languageEnglish (US)
Pages (from-to)5113-5131
Number of pages19
JournalCommunications in Algebra
Issue number12
StatePublished - 2022


  • Nash stacks
  • stacks
  • zeta functions

ASJC Scopus subject areas

  • Algebra and Number Theory


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