Betti numbers of fold products of linear forms

Ricardo Burity; Stefan Tohaneanu

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arXiv · 2507.07294

Betti numbers of fold products of linear forms

Ricardo Burity·Stefan Tohaneanu

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Abstract

The ideals generated by fold products of linear forms are generalizations of powers of defining ideals of star configurations, or of Veronese type ideals, and in this paper we study their Betti numbers. In earlier work, the authors together with Yu Xie showed that these ideals have linear graded free resolution, and in this paper we take the study of the homological information about these ideals to the next natural level.

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Ricardo Burity, Stefan Tohaneanu. 2025-07-09. Betti numbers of fold products of linear forms. https://arxiv.org/abs/2507.07294

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