5 citations · 6 across the 9 of their papers we have counts for
12 papers
Adequate complete intersection homomorphisms
Samuel Alvite, Javier Majadas
We study three classes of local homomorphisms and their behavior with respect to the ascent and descent of the \emph{complete intersection} property. Crucially, they fall in betwee…
A ring of cohomological operators on Ext and Tor
Samuel Alvite, Javier Majadas
Let be a surjective homomorphism of rings with kernel . Gulliksen (when is generated by a regular sequence) and later Mehta (in general) showed that for a…
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…
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…
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…
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.