P. Bonacini HILBERT FUNCTIONS OF DECREASING TYPE IN POSITIVE CHARACTERISTIC
نویسنده
چکیده
Let C be an integral curve in Pk , with k an algebraically closed field. In the main result of this paper we prove that the Hilbert function of its general plane section C ∩H is of decreasing type, extending to any characteristic a result proved in the case char k = 0 by Maggioni and Ragusa. Moreover, the proof given in this paper does not depend on the uniform position property. We also prove in any characteristic that every 0-dimensional differentiable O-sequence of decreasing type is the Hilbert function of a general plane section of an integral smooth ACM curve in P3. Starting from these results other properties of the Hilbert functions of C∩H and C are extended to any characteristic.
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