On the Hilbert function of a finite scheme contained in a quadric surface

DOI10.1007/s13348-023-00406-8MaRDI QIDQ6617344

Mario Maican

Publication date: 10 October 2024

Published in: Collectanea Mathematica (Search for Journal in Brave)

zbMATH Keywords

Hilbert functionBrill-Noether locitopological Euler characteristicflag Hilbert schemes

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Parametrization (Chow and Hilbert schemes) (14C05)

Cites Work

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• On the homology of the Hilbert scheme of points in the plane
• On the postulation of 0-dimensional subschemes on a smooth quadric
• The minimal resolutions of double points in \(\mathbb {P}^1 \times \mathbb P^{1}\) with ACM support
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• The Hilbert functions of ACM sets of points in \({\mathbb P}^{n_1} {\times}\dots{\times}{\mathbb P}^{n_k}\)
• The border of the Hilbert function of a set of points in \(\mathbb P^{n_1}\times \cdots \times \mathbb P^{n_k}\)
• On the Hilbert function of general fat points in \(\mathbb{P}^1\times\mathbb{P}^1\)
• Some theorems on actions of algebraic groups
• Scheme-Theoretic Complete Intersections in ℙ¹× ℙ¹
• ON THE BETTI NUMBERS OF THREE FAT POINTS IN ℙ 1 × ℙ 1
• On the Hilbert functions of sets of points in ¹ × ¹ × ¹
• Fat points schemes on a smooth quadric

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