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Hilbert Basis of the Cone Constructed from Matrices Describing Generic Situations

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The paper computes the Hilbert basis of the cone constructed from matrices describing generic situations, i.e., such vector subspaces in a finite direct sum of finite-dimensional subspaces that are in generic position with respect to the direct summands.

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References

  1. N. A. Lebedinskaya, D. M. Lebedinskii, and A. A. Smirnov, “Possible dimensions of subspace intersections for five direct summands,” Zap. Nauchn. Semin. POMI, 453, 189–197 (2016).

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  2. N. A. Lebedinskaya and D. M. Lebedinskii, “On possible dimensions of subspace intersections,” Vestn. SPBGU, Ser. 1 Mat., Mekh., Astr., No. 2, 204–209 (2016).

  3. R. L. Graham, D. E. Knuth, and O. Patashnik, Concrete Mathematics: A Foundation for Computer Science [Russian translation], Mir, Moscow (1998).

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Correspondence to N. A. Lebedinskaya.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 472, 2018, pp. 195–203.

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Lebedinskaya, N.A., Lebedinskii, D.M. & Smirnov, A.A. Hilbert Basis of the Cone Constructed from Matrices Describing Generic Situations. J Math Sci 240, 833–838 (2019). https://doi.org/10.1007/s10958-019-04400-z

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  • DOI: https://doi.org/10.1007/s10958-019-04400-z

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