what is grothendieckrankp2 fr?

This repository is a research collection focused on a specific open question in algebraic geometry called Grothendieck's rank-p squared group-scheme conjecture, which asks whether every finite locally free group scheme of order n is annihilated by n. The README states directly that all the mathematical constructions, proofs, computations, and formalizations in the repository were generated entirely by AI models, specifically Codex from OpenAI and Claude from Anthropic. The main current result is a rank-four counterexample construction in residue characteristic two, presented as a specific algebraic ring and a Hopf algebra built from it. The repository organizes its material into manuscripts describing this result and an earlier alternative construction, Lean proof files that formally verify the rank-four case and a draft formalization for the general rank-p-squared case, Python scripts and Macaulay2 calculations used for verification and search, and working notes. The Lean formalizations are built as a Lake project pinned to a specific Lean and Mathlib version, and the README states the build is warning free and passes the standard linter set, with the main theorems depending only on standard mathematical axioms. It notes one Lean file is a polished version of a public GitHub gist by the same author, with the earlier draft preserved in git history. The README includes a handoff protocol aimed at AI agents that might continue this work, instructing them to check the newest audit files, distinguish proven statements from conditional computational conclusions, and avoid committing generated logs or scratch files. It states the files were curated on a specific date from a larger workspace that was not itself modified by the curation. No license file is mentioned in the README, and given the research nature and stated AI authorship of the content, readers should treat the mathematical claims as requiring independent verification rather than established results.