A Fr\"{o}berg type theorem for higher secant complexes

Junho Choe; Jaewoo Jung

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arXiv · 2502.20987

A Fr\"{o}berg type theorem for higher secant complexes

Junho Choe·Jaewoo Jung

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Abstract

We generalize the celebrated Fr\"{o}berg's theorem to embedded joins of copies of a simplicial complex, namely higher secant complexes to the simplicial complex, in terms of property $N_{q+1,p}$ due to Green and Lazarsfeld. Furthermore, we investigate combinatorial phenomena parallel to geometric ones observed for higher secant varieties of minimal degree.

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Junho Choe, Jaewoo Jung. 2025-02-28. A Fr\"{o}berg type theorem for higher secant complexes. https://arxiv.org/abs/2502.20987

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