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.
Citation
Alex DEGTYAREV. Ichiro SHIMADA. "On the topology of projective subspaces in complex Fermat varieties." J. Math. Soc. Japan 68 (3) 975 - 996, July, 2016. https://doi.org/10.2969/jmsj/06830975
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