The rank two p-curvature conjecture on generic curves

Anand Patel*, Ananth N. Shankar, Junho Peter Whang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We prove the p-curvature conjecture for rank two vector bundles with connection on generic curves. Our ingredients include new deformation techniques for vector bundles with vanishing p-curvatures on families of varieties, as well as topological criteria for finiteness of surface group representations in terms of simple loops and pairs of pants.

Original languageEnglish (US)
Article number107800
JournalAdvances in Mathematics
StatePublished - Aug 6 2021


  • Generic curve
  • p-Curvature conjecture
  • Surface group

ASJC Scopus subject areas

  • General Mathematics


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