Height of generic K 3-surfaces
نویسنده
چکیده
Let E D .E; h/ be a hermitian vector bundle over Spec.OK /; for some number field K . The main result of this paper shows that if X is a K 3 surface with Picard group of rank 1 and embedded in P.E/; then its Faltings height is bounded below in terms of the Arakelov degree of E; the first and the last minima of Zhang. This inequality is stronger than the one given by the semistability of the Hilbert point of the model given by taking the complete linear system associated to the primitive divisor class.
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تاریخ انتشار 2001