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RESEARCH PRODUCT

A survey on algebraic dilatations

Adrien DuboulozArnaud MayeuxJoao Pedro Dos Santos

subject

torsorsaffine modificationsdifferential Galois groupsformal blowupsNéron blowups[MATH] Mathematics [math]Commutative Algebra (math.AC)shtukasMathematics - Algebraic Geometryaffine blowupsFOS: Mathematicsalgebraic dilatations[MATH]Mathematics [math]Algebraic Geometry (math.AG)multi-centered dilatationsdilatations of schemesA 1 -homotopy theoryKaliman-Zaidenberg modificationslevel structuresMoy-Prasad isomorphismrepresentations of p-adic groupsMathematics - Commutative Algebramono-centered dilatationslocalizations of ringscongruent isomorphismsTannakian groupsaffine geometry

description

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 naturally into two categories: one emphasises foundational and theoretical aspects and the other applications to existing theories.

yearjournalcountryeditionlanguage
2023-06-29
http://arxiv.org/abs/2306.17003