Varieties in cages: a little zoo of algebraic geometry

DOI10.1007/s40598-021-00189-5zbMath1493.13024arXiv1912.06308OpenAlexW3204770527MaRDI QIDQ2125408

Gabriel Katz

Publication date: 14 April 2022

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.06308

zbMATH Keywords

complete intersectionsvarietieshyperplane arrangementscagesCayley-Bacharach theorems

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry (14-01) Curves in algebraic geometry (14Hxx)

Cites Work

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• How tangents solve algebraic equations, or a remarkable geometry of discriminant varieties
• Extremal point sets and Gorenstein ideals
• Differentiable structures on complete intersections. I
• Curves in Cages: An Algebro-Geometric Zoo
• Gorenstein Algebras and the Cayley-Bacharach Theorem
• Morse Theory. (AM-51)
• Cayley-Bacharach theorems and conjectures
• Decompositions of the Hilbert Function of a Set of Points in ℙⁿ
• An alternative to the Hilbert function for the ideal of a finite set of points in \(\mathbb P^n\)