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