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Chow ring structure made simple

S. Nikolenko·N. Semenov
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Abstract

We show how to translate the task of computing the multiplicative structure of a Chow ring of a projective homogeneous variety into an easily understandable combinatorial task of calculating in the corresponding polynomial ring. The algorithms are also presented as a Maple package. Then we proceed to compute the multiplicative structure of the Chow rings for projective homogeneous varieties E6/P1, E7/P7, and E8/P8.

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S. Nikolenko, N. Semenov. 2006-06-14. Chow ring structure made simple. https://arxiv.org/abs/math/0606335

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