A description of the sarkisov program of horospherical varieties via moment polytopes

Boris Pasquier (LMA-Poitiers); Enrica Floris (LMA-Poitiers)

A description of the sarkisov program of horospherical varieties via moment polytopes

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arxiv 2212.10304 v1 pith:MG3YZNMP submitted 2022-12-20 math.AG

Enrica Floris (LMA-Poitiers) , Boris Pasquier (LMA-Poitiers) This is my paper · ORCID

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keywords horosphericalprogramsarkisovactionbirationaldescriptionequivariantlyfibre

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Let X and Y be horospherical Mori fibre spaces which are birational equivariantly with respect to the group action. Then, there is a horospherical Sarkisov program from X/S to Y /T .

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Sarkisov program for algebraically integrable and threefold foliations
math.AG 2025-05 conditional novelty 8.0 of 10

The authors establish that for algebraically integrable foliations on klt varieties, and for rank one foliations on threefolds, any two Mori fiber spaces are connected by Sarkisov links.

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