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MMP for algebraically integrable foliations

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arxiv 2303.07528 v1 pith:LNLJFVBC submitted 2023-03-13 math.AG

Paolo Cascini , Calum Spicer This is my paper · ORCID
classification math.AG
keywords algebraicallyfactorialfoliationsintegrablemathbbcanonicaldimensionexistence
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abstract

We show that termination of flips for $\mathbb Q$-factorial klt pairs in dimension $r$ implies existence of minimal models for algebraically integrable foliations of rank $r$ with log canonical singularities over a $\mathbb Q$-factorial klt projective variety.

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  1. Numerical conditions for the boundedness of foliated surfaces

    math.AG 2024-12 conditional novelty 6.0 of 10

    The Hilbert functions of 2-dimensional foliated canonical models with fixed K_F^2, K_F·K_X, and i_Q(F) form a finite set.

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