On the topology of projective subspaces in complex Fermat varieties
Algebraic Geometry
2016-08-25 v3
Abstract
Let X be the complex Fermat variety of dimension n=2d and degree m>2. We investigate the submodule of the middle homology group of X with integer coefficients generated by the classes of standard d-dimensional subspaces contained in X, and give an algebraic (or rather combinatorial) criterion for the primitivity of this submodule.
Keywords
Cite
@article{arxiv.1405.4683,
title = {On the topology of projective subspaces in complex Fermat varieties},
author = {Alex Degtyarev and Ichiro Shimada},
journal= {arXiv preprint arXiv:1405.4683},
year = {2016}
}
Comments
18 pages, 1 figure; a typo is corrected and a reference is updated