The Rationality of the Hilbert-kunz Multiplicity in Graded Dimension Two
نویسنده
چکیده
Abstract. We show that the Hilbert-Kunz multiplicity is a rational number for an R+−primary homogeneous ideal I = (f1, . . . , fn) in a twodimensional graded domain R of finite type over an algebraically closed field of positive characteristic. Moreover we give a formula for the HilbertKunz multiplicity in terms of certain rational numbers coming from the strong Harder-Narasimhan filtration of the syzygy bundle Syz(f1, . . . , fn) on the projective curve Y = ProjR.
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تاریخ انتشار 2004