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arXiv · 1405.4683

On the topology of projective subspaces in complex Fermat varieties

Alex Degtyarev·Ichiro Shimada
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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.

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Alex Degtyarev, Ichiro Shimada. 2014-05-19. On the topology of projective subspaces in complex Fermat varieties. https://arxiv.org/abs/1405.4683

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