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- W4310366707 abstract "We study the conormal sheaves and singular schemes of 1-dimensional foliations on smooth projective varieties $X$ of dimension 3 and Picard rank 1. We prove that if the singular scheme has dimension 0, then the conormal sheaf is $mu$-stable whenever the tangent bundle $TX$ is stable, and apply this fact to the characterization of certain irreducible components of the moduli space of rank 2 reflexive sheaves on $mathbb{P}^3$ and on a smooth quadric hypersurface $Q_3subsetmathbb{P}^4$. Finally, we give a classification of local complete intersection foliations, that is, foliations with locally free conormal sheaves, of degree 0 and 1 on $Q_3$." @default.
- W4310366707 created "2022-12-09" @default.
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- W4310366707 date "2021-01-15" @default.
- W4310366707 modified "2023-09-26" @default.
- W4310366707 title "Foliations by curves on threefolds" @default.
- W4310366707 doi "https://doi.org/10.48550/arxiv.2101.06244" @default.
- W4310366707 hasPublicationYear "2021" @default.
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