Codimension one Fano distributions on Fano manifolds-Reference-Cited by-同舟云学术

Codimension one Fano distributions on Fano manifolds

Published:2018-07-26 Issue:05 Volume:20 Page:1750058
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Araujo Carolina¹,Corrêa Mauricio²,Massarenti Alex³

Affiliation:

1. IMPA, Estrada Dona Castorina 110, 22460-320 Rio de Janeiro, Brazil

2. UFMG, Avenida Antônio Carlos, 6627, 30161-970 Belo Horizonte, Brazil

3. UFF, Rua Mário Santos Braga, 24020-140, Niterói, Rio de Janeiro, Brazil

Abstract

In this paper, we investigate codimension one Fano distributions on Fano manifolds with Picard number one. We classify Fano distributions of maximal index on complete intersections in weighted projective spaces, Fano contact manifolds, Grassmannians of lines and their linear sections, and describe their moduli spaces. As a consequence, we obtain a classification of codimension one del Pezzo distributions on Fano manifolds with Picard number one.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199717500584

Reference40 articles.

1. Clay Mathematical Proceeding;Araujo C.,2013

2. On Fano foliations

3. On codimension 1 del Pezzo foliations on varieties with mild singularities

4. On Fano Foliations 2

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dimension two holomorphic distributions on four-dimensional projective space;Bulletin des Sciences Mathématiques;2024-09

2. On codimension one holomorphic distributions on compact toric orbifolds;International Journal of Mathematics;2024-04-03

3. Codimension one foliations on homogeneous varieties;Advances in Mathematics;2023-12

4. Del Pezzo foliations with log canonical singularities;Journal of Pure and Applied Algebra;2022-05

5. A singular Darboux type theorem and non-integrable projective distributions of degree one;Boletín de la Sociedad Matemática Mexicana;2021-02-23