Curvilinear subschemes of Segre varieties and the cactus rank

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Published: 2022-09-16
DOI: https://doi.org/10.56947/gjom.v13i2.902
Keywords:
Embeddings of projective varieties, zero-dimensional scheme

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Edoardo Ballico
Department of Mathematics, University of Trento, Italy

Abstract

We study zero-dimensional linearly dependent subschemes W of the Segre variety with deg(W)≤5. If W is connected and curvilinear with arbitrary degree we give a strong restriction on the number of factors of the concise Segre containing W.

Article Details

Issue

Vol. 13 No. 2 (2022)

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Articles

How to Cite

Curvilinear subschemes of Segre varieties and the cactus rank. (2022). Gulf Journal of Mathematics, 13(2), 1-11. https://doi.org/10.56947/gjom.v13i2.902