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math.AG2022
Two results on the logarithmic cotangent complex
Jesús Conde-Lago, Javier Majadas
In this paper we give two results on the logarithmic cotangent complex: we construct a logarithmic analogues to the complex of Lichtenbaum and Schlessinger and to Quillen's fundame…
math.AG2018
Homological characterization of regularity in Logarithmic Algebraic Geometry
Jesús Conde-Lago, Javier Majadas
We characterize K. Kato's log regularity in terms of vanishing of (co)homology of the logarithmic cotangent complex.
math.AG2015
A short proof of smooth implies flat
Jesús Conde-Lago
Proofs that a smooth morphism is flat available in the literature are long and difficult. We give a short proof of this fact.