6 citations · 10 across the 11 of their papers we have counts for
12 papers
Dilatations of categories, via their lean formalization
Arnaud Mayeux
Given a category $\calC$ and a center, that is a collection of pairs consisting of a morphism and a sieve over its codomain, the dilatation of $\calC$ is a…
Algebraic Magnetism: -products of attractors via -geometry
Arnaud Mayeux
We give a formula for -products of attractors using -geometry.
A polyptych of multi-centered deformation spaces
Adrien Dubouloz, Arnaud Mayeux
Extending Verdier's deformation space to the normal cone of a closed subscheme and Rost's double deformation space of a pair of nested closed subschemes, we introduce a notion of d…
On multi-graded Proj schemes
Arnaud Mayeux, Simon Riche
We review the construction (due to Brenner--Schröer) of the Proj scheme associated with a ring graded by a finitely generated abelian group. This construction generalizes the well-…
A survey on algebraic dilatations
Adrien Dubouloz, Arnaud Mayeux, João Pedro dos Santos
In this text, we wish to provide the reader with a short guide to recent works on the theory of dilatations in Commutative Algebra and Algebraic Geometry. These works fall naturall…
Dilatations of categories
Arnaud Mayeux
Dilatations modify categories by imposing that some morphisms factorize through some others. This is formalized by a universal property. This text is devoted to introduce and study…