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…
Multi-centered dilatations, congruent isomorphisms and Rost double deformation space
Arnaud Mayeux
We introduce multi-centered dilatations of rings, schemes and algebraic spaces, a basic algebraic concept. Dilatations of schemes endowed with a structure (e.g. monoid, group or Li…
Algebraic Magnetism
Arnaud Mayeux
We introduce Algebraic Magnetism, a theory of attractors associated to magnets within the framework of actions of diagonalizable monoid schemes on algebraic spaces. For a diagonali…
Comparing Bushnell-Kutzko and Sécherre's constructions of types for and its inner forms with Yu's construction
Arnaud Mayeux, Yuki Yamamoto
Let be a non-archimedean local field, be a central simple -algebra, and be the multiplicative group of . To construct types for supercuspidal representations of $…
Comparison of Bushnell-Kutzko and Yu's constructions of supercuspidal representations
Arnaud Mayeux
We compare precisely and explicitly Bushnell-Kutzko and Yu's constructions of supercuspidal representations. At the end, we draw conclusions and ask a natural question about the ex…
Néron blowups and low-degree cohomological applications
Arnaud Mayeux, Timo Richarz, Matthieu Romagny
We define dilatations of general schemes and study their basic properties. Dilatations of group schemes are -- in favorable cases -- again group schemes, called Néron blowups. We g…
Représentations supercuspidales
Arnaud Mayeux
This text is a response to the following question: What are the methods to build supercuspidal complex representations of p-adic reductive groups and are there ties between them ?…