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arXiv · 2408.12861

Projective surfaces not as Hadamard products and the dimensions of the Hadamard joins

Edoardo Ballico
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Abstract

We study the dimensions of Hadamard products of $k\ge 3$ varieties if we allow to modify $k-1$ of them by the action of a general projective linear transformation. We also prove that the join of a variety not contained in a coordinate hyperplane with a ``nice'' curve always has the expected dimension.

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Edoardo Ballico. 2024-08-23. Projective surfaces not as Hadamard products and the dimensions of the Hadamard joins. https://arxiv.org/abs/2408.12861

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