English

Notes on Lie derivatives, algebraic D-varieties, and Ax's theorem

Algebraic Geometry 2026-05-14 v1 Logic

Abstract

We discuss the relationship between Lie derivatives and the linear differential equations on cotangent spaces of algebraic D-varieties at sharp points. We also take the liberty to give an account of Ax's theorem (which may be useful as an entry point to the subject for students).

Keywords

Cite

@article{arxiv.2605.12670,
  title  = {Notes on Lie derivatives, algebraic D-varieties, and Ax's theorem},
  author = {Anand Pillay},
  journal= {arXiv preprint arXiv:2605.12670},
  year   = {2026}
}

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12 pages