TY - JOUR
T1 - A combinatorial proof of Gotzmann's persistence theorem for monomial ideals
AU - Murai, Satoshi
N1 - Funding Information:
The author is supported by JSPS Research Fellowships for Young Scientists.
PY - 2008/1
Y1 - 2008/1
N2 - Gotzmann proved the persistence for minimal growth of Hilbert functions of homogeneous ideals. His theorem is called Gotzmann's persistence theorem. In this paper, based on the combinatorics of binomial coefficients, a simple combinatorial proof of Gotzmann's persistence theorem in the special case of monomial ideals is given.
AB - Gotzmann proved the persistence for minimal growth of Hilbert functions of homogeneous ideals. His theorem is called Gotzmann's persistence theorem. In this paper, based on the combinatorics of binomial coefficients, a simple combinatorial proof of Gotzmann's persistence theorem in the special case of monomial ideals is given.
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U2 - 10.1016/j.ejc.2006.07.012
DO - 10.1016/j.ejc.2006.07.012
M3 - Article
AN - SCOPUS:35549009729
SN - 0195-6698
VL - 29
SP - 322
EP - 333
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
IS - 1
ER -