7 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.
Algebraic Magnetism
Arnaud Mayeux
For a diagonalizable monoid scheme acting on an algebraic space , we introduce for any submonoid of an attractor space . We then investigate and study vari…
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 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…
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…