Inequalities for Hilbert Functions and Primary Decompositions
نویسنده
چکیده
Upper bounds are found for the characteristic function of a homogeneous polynomial ideal I; such estimates were previously known only for a radical ideal I. An analog of the first Bertini theorem for primary decompositions is formulated and proved. Also, a new representation for primary ideals and modules is introduced and used, which is convenient from an algorithmic point of view.
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