A normal variety in characteristic zero is m-rational if and only if it is m-F-rational after reduction modulo a sufficiently large prime.
url: https://arxiv.org/abs/2306.03977
3 Pith papers cite this work. Polarity classification is still indexing.
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Introduces quasi-rational singularities and proves an isolated singularity is rational precisely when it is quasi-rational, Du Bois, and certain local mixed Hodge numbers vanish.
The normalization of the moduli space of polarized klt good minimal models of arbitrary Kodaira dimension is quasi-projective.
citing papers explorer
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Higher F-rational singularities
A normal variety in characteristic zero is m-rational if and only if it is m-F-rational after reduction modulo a sufficiently large prime.
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Differential Forms and Hodge Structures on Singular Varieties
Introduces quasi-rational singularities and proves an isolated singularity is rational precisely when it is quasi-rational, Du Bois, and certain local mixed Hodge numbers vanish.
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Quasi-Projective Moduli for Polarized klt Good Minimal Models
The normalization of the moduli space of polarized klt good minimal models of arbitrary Kodaira dimension is quasi-projective.