کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419743 | 1631646 | 2012 | 19 صفحه PDF | دانلود رایگان |

Let (an)n⩾0 be a sequence of integers such that its generating series satisfies ân⩾0antn=h(t)(1ât)d for some polynomial h(t). For any r⩾1 we study the coefficient sequence of the numerator polynomial h0(aãrã)+â¯+hλâ²(aãrã)tλⲠof the rth Veronese series aãrã(t)=ân⩾0anrtn. Under mild hypothesis we show that the vector of successive differences of this sequence up to its âd2âth entry is the f-vector of a simplicial complex for large r. In particular, the sequence (h0(aãrã),â¦,hλâ²(aãrã)) satisfies the consequences of the unimodality part of the g-conjecture. We give applications of the main result to Hilbert series of Veronese algebras of standard graded algebras and the f-vectors of edgewise subdivisions of simplicial complexes.
Journal: Advances in Applied Mathematics - Volume 49, Issues 3â5, SeptemberâOctober 2012, Pages 307-325