A Monotonicity Property of h-vectors and h*-vectors
نویسندگان
چکیده
منابع مشابه
SUBDIVISIONS AND LOCAL h-VECTORS
In Part I a general theory of f-vectors of simplicial subdivisions (ortriangulations) of simplicial complexes is developed, based on the concept of lo-cal h-vector. As an application, we prove that the h-vector of a Cohen-Macaulaycomplex increases under "quasi-geometric" subdivision, thus establishing a spe-cial case of a conjecture of Kalai and this author. Techniques include c...
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We consider the Ehrhart h∗-vector for the hypersimplex. It is well-known that the sum of the hi is the normalized volume which equals an Eulerian number. The main result is a proof of a conjecture by R. Stanley which gives an interpretation of the hi coefficients in terms of descents and excedances. Our proof is geometric using a careful book-keeping of a shelling of a unimodular triangulation....
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We show that the Ehrhart h-vector of an integer Gorenstein polytope with a unimodular triangulation satisfies McMullen’s g-theorem; in particular it is unimodal. This result generalizes a recent theorem of Athanasiadis (conjectured by Stanley) for compressed polytopes. It is derived from a more general theorem on Gorenstein affine normal monoids M: one can factor K[M] (K a field) by a “long” re...
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Article history: Received 11 November 2012 Accepted 4 November 2014 Available online 13 November 2014 Communicated by Ezra Miller MSC: 05B35 52C35
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1993
ISSN: 0195-6698
DOI: 10.1006/eujc.1993.1028