arXiv:2202.08565 Abstract | arXiv Analytics

arXiv:2202.08565 [math.AG]Abstract References Reviews Resources

Veronese varieties and Hilbert functions

Published 2022-02-17Version 1

In this paper we characterize all possible Hilbert functions of reduced subavrieties of Veronese varieties. In particular, we get an effective description in the case of Veronese curves and surfaces. In these cases we also describe all possible reduced complete intersection subvarieties.

Comments: 22 pages

Categories: math.AG, math.AC

Subjects: 14N05, 13D40

Keywords: hilbert functions, veronese varieties, reduced complete intersection subvarieties, veronese curves, effective description

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