6 citations · 10 across the 11 of their papers we have counts for
4 papers · 1 filter
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…