Abstract
Fix integers x > 0, m1 ≥ … ≥ m x > 0 and P1,…,Px ∈ P2 such that no 3 of them are collinear. Let C ⊂ P2 a “ general ” degree d plane curve with an ordinary point with multiplicity m i at each P i and y further singularities which are ordinary nodes. Fix any A ⊆ Sing(C){P1,…, Px} and any integer m > 0. Here we study the postulation of the fat points m A ≔ ∪Q∈AmQ.
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The author was partially supported by MIUR and GNSAGA of INdAM (Italy)..
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Ballico, E. On The Postulation of The Multiples of The Nodes for Generic Nodal Curves on Generic Rational Surfaces. Results. Math. 46, 223–226 (2004). https://doi.org/10.1007/BF03322883
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DOI: https://doi.org/10.1007/BF03322883