Computation of Hilbert functions
نویسندگان
چکیده
منابع مشابه
Computation of Hilbert Schemes
Hilbert schemes are a basic topic in Algebraic Geometry [1, 2]. Methods related to Gröbner bases are fundamental here, as Hartshorne’s proof of the connectedness of Hilbert schemes via generic initial ideals demonstrates [3]. For many purposes, the explicit construction of Hilbert schemes is important. Classical approaches lead to prohibitively large equations. Newer ideas like Gröbner strata [...
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In order to extend classical models of computing with symbols we introduce a model for quantitative computation which is based on innnite-dimensional topological linear structures. In particular machines which operate on data taken from Hilbert spaces will be looked at. These Hilbert machines (and other topological linear machines) allow the adequate treatment of concepts like innniteness and s...
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Throughout k stands for a field. For simplicity, we assume that k is algebraically closed and has characteristic 0. However, many of the open problems and conjectures make sense without these assumptions. The polynomial ring S = k[x1, . . . , xn] is graded by deg(xi) = 1 for all i. A polynomial f is homogeneous if f ∈ Si for some i, that is, if all monomial terms of f have the same degree. An i...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 1992
ISSN: 0747-7171
DOI: 10.1016/0747-7171(92)90024-x