Quelques remarques sur la notion de modification affine

Adrien Dubouloz (IF)

Quelques remarques sur la notion de modification affine

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arxiv math/0503142 v1 pith:C37VU6X2 submitted 2005-03-08 math.AG

Adrien Dubouloz (IF) This is my paper · ORCID

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keywords affinemodificationnotionarbitrarybirationalconstructcounterpartdescription

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We construct a global counterpart to the notion of affine modification due to Kaliman and Zaidenberg. This leads to a simple explicit description of the structure of birational affine morphisms between arbitrary quasi-projective varieties.

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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.

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