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Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/193820
On holomorphic distributions on Fano threefolds
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This paper is devoted to the study of holomorphic distributions of dimension and codimension one on smooth weighted projective complete intersection Fano manifolds X which is threedimensional and with Picard number equal to one. We study the relations between algebro-geometric properties of the singular set of singular holomorphic distributions and their associated sheaves. We characterize either distributions whose tangent sheaf or conormal sheaf are arithmetically Cohen Macaulay (aCM) on X. We also prove that a codimension one locally free distribution with trivial canonical bundle on any Fano threefold, with Picard number equal to one, has a tangent sheaf which either splits or it is stable.
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CAVALCANTE, Alana, CORRÊA, Mauricio and MARCHESI, Simone. On holomorphic distributions on Fano threefolds. Journal of Pure and Applied Algebra. 2020. Vol. 224, num. 6. ISSN 0022-4049. [consulted: 28 of June of 2026]. Available at: https://hdl.handle.net/2445/193820