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In this article, we first describe codimension two regular foliations with numerically trivial canonical class on complex projective manifolds whose canonical class is not numerically effective. Building on a recent algebraicity criterion for leaves of algebraic foliations, we then address regular foliations of small rank with numerically trivial canonical class on complex projective manifolds whose canonical class is pseudo-effective. Finally, we confirm the generalized Bondal conjecture formulated by Beauville in some special cases.
Source : ScholeXplorer
IsRelatedTo ARXIV 1906.11317 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1906.11317
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