The Hilbert Polynomial of a Symbolic Square

DOI10.1080/00927872.2015.1023954zbMath1375.14064arXiv1208.1109OpenAlexW2963731242MaRDI QIDQ2810540

Kaloyan Slavov

Publication date: 1 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.1109

zbMATH Keywords

hypersurfacecurveKähler differentialsHilbert polynomialsymbolic powersingular locus

Mathematics Subject Classification ID

Plane and space curves (14H50) Singularities of surfaces or higher-dimensional varieties (14J17) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Cites Work

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• Star configurations in \(\mathbb{P}^n\)
• A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions
• Bounds on leaves of one-dimensional foliations
• Linear subspaces, symbolic powers and Nagata type conjectures
• The moduli space of hypersurfaces whose singular locus has high dimension
• Gorenstein algebras, symmetric matrices, self-linked ideals, and symbolic powers

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