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Understanding Schubert’s book (I)

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Abstract

Hilbert Problem 15 required an understanding of Schubert’s book [1], both its methods and its results. In this paper, following his idea, we prove that the formulas in §6, §7, §10, about the incidence of points, lines and planes, are all correct. As an application, we prove formulas 8 and 9 in §12, which are frequently used in his book.

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Authors and Affiliations

  1. KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Banghe Li

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  1. Banghe Li
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Correspondence to Banghe Li.

Additional information

This work was partially supported by National Center for Mathematics and Interdisciplinary Sciences, CAS.

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Li, B. Understanding Schubert’s book (I). Acta Math Sci 41, 97–113 (2021). https://doi.org/10.1007/s10473-021-0106-4

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  • DOI: https://doi.org/10.1007/s10473-021-0106-4

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