Archivio Istituzionale della RicercaIn this paper we describe all possible reduced complete intersection sets of points on Veronese surfaces. We formulate a conjecture for the general case of complete intersection subvarieties of any dimension and we prove it in the case of the quadratic Veronese threefold. Our main tool is an effective characterization of all possible Hilbert functions of reduced subvarieties of Veronese surfaces.(c) 2023 Elsevier Inc. All rights reserved.
Complete intersections on Veronese surfaces / Canino, Stefano; Carlini, Enrico. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 622:(2023), pp. 328-350. [10.1016/j.jalgebra.2023.01.025]
Complete intersections on Veronese surfaces
Stefano Canino;Enrico Carlini
2023
Abstract
In this paper we describe all possible reduced complete intersection sets of points on Veronese surfaces. We formulate a conjecture for the general case of complete intersection subvarieties of any dimension and we prove it in the case of the quadratic Veronese threefold. Our main tool is an effective characterization of all possible Hilbert functions of reduced subvarieties of Veronese surfaces.(c) 2023 Elsevier Inc. All rights reserved.
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https://hdl.handle.net/11583/2979587