A brief proof of a maximal rank theorem for generic double points in projective space

By K. Chandler. 2000

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Classical Algebraic Geometry: A Modern View (2012, background): “A simplified proof can be found in [53] or [91].”
On the Alexander–Hirschowitz theorem (2007, methodology): “We need the following easy numerical lemma, proved by Chandler [12] in a slightly different form.”
The Hitchhiker Guide to: Secant Varieties and Tensor Decomposition (2018, background): “After this result, simplifications of the proof followed [49, 50].”
On the first infinitesimal neighborhood of a linear configuration of points in P2 (2006, background): “[1], and K. Chandler [ 16 ] as well as that of Bocci [6], Catalisano, Geramita and Gimigliano [13], Ciliberto [17], Ciliberto and Miranda [18], [19], Gimigliano [35], Laface and Ugaglia [46], [47], Yang [57] and for further references see the survey article of Miranda [52] and since then - for large”