Abstract:Given mp different p-planes in general position in (m + p)-dimensional space, a classical problem is to ask how many p-planes intersect all of them. For example when m = p = 2, this is precisely the question of "lines meeting four lines in 3-space" after projectivizing. The Brouwer degree of the Wronski map provides an answer to this general question, first computed by Schubert over the complex numbers and Eremenko and Gabrielov over the reals. We provide an enriched degree of the Wronski for all m and p even,… Show more
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