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  1. In this paper, we find that the Waldschmidt constant of a k-configuration in P2 of type (d1, . . . , ds) with d1 s. ≥ ≥ 1 is s. Then we deal with the Waldschmidt constants of standard k …

  2. d1 ≥ s ≥ 1 is s. Then we deal with the Waldschmidt constants of standard k-configurations in P2 of type (a), (a,b), and (a. b, c) with a ≥ 1. In particular, we prove that the Waldschmidt constant of …

  3. Conversely, given any ordering of the elements of A, we can construct a consistent k-configuration of order 1 from it by grouping together the first k elements, then the next k …

  4. iguration in P2 of the same type may vary. In this paper, we find that the Waldschmidt constant of a k-configuration in P2 of type. (d1, . . . , ds) with d1 ≥ s ≥ 1 is s. Then we deal with the …

  5. A k-configuration of a set A is consistent if the order of every element of A is the same, and the order of a consistent k-configuration is this common value. 1. (a) [10] How many k …

  6. ABSTRACT. A k-configuration of type (d1, . . . , ds) is a specific set of points in P2 that has a number of algebraic and geometric properties. For example, the graded Betti numbers and …