On holomorphic distributions on fano threefolds.
No Thumbnail Available
Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
This paper is devoted to the study of holomorphic distributions of dimension and codimension one on smooth weighted projective complete intersection Fano manifolds threedimensional, 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 smooth weighted projective complete intersection Fano manifolds threefold. 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.
Description
Keywords
Citation
FELIPPE, A. C.; CORRĂA, M.; MARCHESI, S. On holomorphic distributions on fano threefolds. Journal of Pure and Applied Algebra, v. 224, artigo 106272, dez. 2018. DisponĂvel em: <https://www.sciencedirect.com/science/article/abs/pii/S0022404919302853?via%3Dihub>. Acesso em: 12 set. 2021.