Higher Lawrence configurations

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Any configuration of lattice vectors gives rise to a hierarchy of higher-dimensional configurations which generalize the Lawrence construction in geometric combinatorics. We prove finiteness results for the Markov bases, Graver bases and face posets of these configurations, and we discuss applications to the statistical theory of log-linear models.
12 pages. Changes from v1 and v2: minor edits. This version is to appear in the Journal of Combinatorial Theory, Ser. A

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Combinatorics, Commutative Algebra, 52B20 (Primary); 13P10, 62H17 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/65061

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209326
 http://arxiv.org/abs/math/0209326
 J. Combin. Theory, Ser. A. 103:1 (2003), 151-164.
 doi:10.1016/S0097-3165(03)00092-X

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arXiv