Fetching the paper…
Reading the bibliography…
We tell the story of how schemes were formalised in three different ways in the Lean theorem prover.
Hassler Whitney, Differentiable manifolds , Ann. of Math. (2) 37
1936
Earlier work this paper cites.
André Weil, Foundations of Algebraic Geometry , American Mathematical Society Colloquium Publications, vol. 29, American Mathematical Society, New York, 1946. MR 0023093
1946
Earlier work this paper cites.
A. Grothendieck, Éléments de géométrie algébrique. I. Le langage des schémas , Inst. Hautes Études Sci. Publ. Math. (1960), no. 4, 228. MR 217083
1960
Earlier work this paper cites.
Robin Hartshorne, Algebraic geometry , Springer-Verlag, New York-Heidelberg, 1977, Graduate Texts in Mathematics, No. 52. MR 0463157
1977
Earlier work this paper cites.
Leonardo de Moura, Soonho Kong, Jeremy Avigad, Floris van Doorn, and Jakob von Raumer, The lean theorem prover (system description) , Automated Deduction - CADE-25 - 25th International Conference on Automated Deduction, Berlin, Germany, August 1-7, 2015, Proceedings, 2015, pp. 378–388
2015
Cited alongside, same era.
Kevin Buzzard, Chris Hughes, and Kenny Lau, Formal verification of parts of the Stacks project in Lean , https://github.com/kbuzzard/lean-stacks-project , 2018
2018
Cited alongside, same era.
Ramon Fernández Mir, Schemes in Lean (v2) , https://github.com/ramonfmir/lean-scheme , 2019
2019
Cited alongside, same era.
Kevin Buzzard, Johan Commelin, and Patrick Massot, Formalising perfectoid spaces , Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs, CPP 2020, New Orleans, LA, USA, January 20-21, 2020, 2020, pp. 299–312
2020
Later among the works it cites.
The mathlib community, The Lean mathematical library , Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs, CPP 2020, New Orleans, LA, USA, January 20-21, 2020, 2020, pp. 367–381
2020
Later among the works it cites.
The Stacks Project Authors, Stacks Project , https://stacks.math.columbia.edu , 2021
2021
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…