Abstract
We classify all non-degenerate subsets \({S\subset \mathbb {P}^r}\) such that \({\sharp (S) \le 4m+r-5}\) , \({\sharp (S\cap A) \le 4m-5}\) for every plane \({A\subseteq \mathbb {P}^r}\) and \({h^1(\mathcal {I}_S(m)) >0 }\).
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The author was partially supported by MIUR and GNSAGA of INdAM (Italy).
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Ballico, E. Finite subsets of projective spaces with bad postulation in a fixed degree. Beitr Algebra Geom 54, 81–103 (2013). https://doi.org/10.1007/s13366-012-0104-8
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DOI: https://doi.org/10.1007/s13366-012-0104-8