The Hrushovski-Lang-Weil estimates

K. V. Shuddhodan, Yakov Varshavsky

Research output: Contribution to journalArticlepeer-review


In this work, we give an algebro-geometric proof of Hrushovski's generalization of the Lang-Weil estimates on the number of points in the intersection of a correspondence with the graph of the Frobenius map. This result has numerous applications to various areas of mathematics, including model theory, algebraic dynamics, group theory and arithmetic algebraic geometry.

Original languageAmerican English
Pages (from-to)651-687
Number of pages37
JournalAlgebraic Geometry
Issue number6
StatePublished - Nov 2022


  • Cohomological methods.
  • Finite fields
  • Intersection theory

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology


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