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B-facets in Dimension 4

delete2026-05-11
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PRE
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Selyanin, Fedor *
DOI:10.1007/s10883-026-09778-zdelete
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Abstract

Abstract

En 中文
A B-facet is a lattice (n-1)-dimensional polytope in the positive octant R->= 0(n) with a positive normal covector, such that every (n-1)-dimensional simplex with vertices in it is a B-simplex (i.e., a pyramid of height one with base on a coordinate hyperplane). Bfacets 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].
Keywords:
Monodromy conjecture
Newton polytope

Journal

J
Journal of Dynamical and Control Systems
IF:
0.8
Papers:
27
Citations:
0

Organization

S
skolkovo institute of science & technology
Scholars:
3.3K
Papers: 2.3K
Citations: 1