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18 p, 237.7 KB Maximal rank for schemes of small multiplicity by Évain's differential Horace method / Roé Vellvé, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The Hilbert function of the union of n general e-fold points in the plane is maximal if n ≥ 4e² or n is a square. The Hilbert function of a union of A, D, E singularity schemes in general position is maximal in every degree > 28. [...]
2014 - 10.1090/S0002-9947-2013-05919-3
Transactions of the American Mathematical Society, Vol. 366, No. 2 (Feb. 2014) , p. 857-874  

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