On the topology of projective subspaces in complex Fermat varieties

抄録

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.