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A survey on algebraic dilatations

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arxiv 2306.17003 v2 pith:U47QS2YY submitted 2023-06-29 math.AG math.AC

Adrien Dubouloz , Arnaud Mayeux , João Pedro dos Santos This is my paper · ORCID
classification math.AGmath.AC
keywords algebraicdilatationsworksalgebraapplicationsaspectscategoriescommutative
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A polyptych of multi-centered deformation spaces

    math.AG 2024-11 accept novelty 8.0 of 10

    Deformation spaces for arbitrarily long chains of closed immersions are constructed, and panelization isomorphisms show they can be rebuilt from shorter chains in a 19-panel polyptych for length three.

  2. Formalizing multi-graded Brenner-Schr\"oer Proj schemes and dilatations of rings in Lean4

    cs.LO 2026-05 unverdicted novelty 6.0 of 10

    Lean4 formalization of multi-graded Brenner-Schröer Proj schemes and ring dilatations.

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