Sharp upper bounds for the Betti numbers of Cohen-Macaulay modules
نویسندگان
چکیده
منابع مشابه
Upper Bounds for Betti Numbers of Multigraded Modules
This paper gives a sharp upper bound for the Betti numbers of a finitely generated multigraded R-module, where R = k[x1, . . . , xm] is the polynomial ring over a field k in m variables. The bound is given in terms of the rank and the first two Betti numbers of the module. An example is given which achieves these bounds simultaneously in each homological degree. Using Alexander duality, a bound...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1997
ISSN: 0019-2082
DOI: 10.1215/ijm/1256068978