Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/193820
Title: | On holomorphic distributions on Fano threefolds |
Author: | Cavalcante, Alana Corrêa, Mauricio Marchesi, Simone |
Keywords: | Foliacions (Matemàtica) Topologia diferencial Homologia Foliations (Mathematics) Differential topology Homology |
Issue Date: | Jun-2020 |
Publisher: | Elsevier B.V. |
Abstract: | 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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1016/j.jpaa.2019.106272 |
It is part of: | Journal of Pure and Applied Algebra, 2020, vol. 224, num. 6 |
URI: | http://hdl.handle.net/2445/193820 |
Related resource: | https://doi.org/10.1016/j.jpaa.2019.106272 |
ISSN: | 0022-4049 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
694386.pdf | 300.14 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License