On the construction of quotient spaces by algebraic foliations

Federico Bongiorno

On the construction of quotient spaces by algebraic foliations

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arxiv 2110.05963 v1 pith:3736YAW3 submitted 2021-10-12 math.AG

Federico Bongiorno This is my paper · ORCID

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keywords definedquotientalgebraicalgebraicallycategoricalcharacteristicconstructioncorank

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Given a variety defined over a field of characteristic zero and an algebraically integrable foliation of corank less than or equal to two, we show the existence of a categorical quotient, defined on the non-empty open set of stable points, through which every invariant morphism factors uniquely.

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$\Theta$-reductivity and $S$-completeness for adjoint Fano foliated structures
math.AG 2026-07 conditional novelty 6.0 of 10

Theta-reductivity and S-completeness hold for the moduli problem of t-K-semistable adjoint Fano foliated structures, yielding uniqueness of K-polystable degenerations and reductivity of automorphism groups.

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