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math.AG2025
On the origin of the Jacobian conjecture
Lázaro O. Rodríguez Díaz
The Jacobian conjecture is thought to have been proposed by O. H. Keller in 1939. However, we have found that the statement of the conjecture is precisely the main result of a pape…
math.AG2024
On the integrality of étale extensions of polynomial rings
Lázaro O. Rodríguez Díaz
Motivated by a valuation theorem, recently obtained by Rangachev, we study the étale extensions of polynomial rings over an algebraically closed field of characteristi…