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July 6, 2026
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?

B-facets in Dimension 4

Journal of Dynamical and Control Systems. 2026. Vol. 32. No. 2. Article 18.
Селянин Ф. И.

A B-facet is a lattice -dimensional polytope in the positive octant  with a positive normal covector, such that every -dimensional simplex with vertices in it is a B-simplex (i.e., a pyramid of height one with base on a coordinate hyperplane). B-facets were introduced in [2] in the context of the monodromy conjecture. In this paper, we complete the classification of B-facets in dimension 4, filling a gap in the classification found by the authors of [8].

Research target: Mathematics
Language: English
DOI
Text on another site
Keywords: Newton polytopeMonodromy conjecture
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