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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.AC2022★ 1 cited
On a theorem of Gulliksen on the homology of local rings
Samuel Alvite, Nerea G. Barral, Javier Majadas
We show that a modification of the proof of a result of Gulliksen gives an elementary proof of the following important theorem by Avramov: if is a homomorphism of…
math.AC2022
Formally regular rings and descent of regularity
Samuel Alvite, Nerea G. Barral, Javier Majadas
Valuation rings and perfectoid rings are examples of (usually non-noetherian) rings that behave in some sense like regular rings. We give and study an extension of the concept of r…