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This paper investigates the geometric properties of rank 3 quadratic equations, focusing on their irreducible components and singularity characteristics.
This paper studies the geometric structure of the locus of rank 3 quadratic equations of the Veronese variety . Specifically, we investigate the minimal irreducible decomposition of of rank 3 quadratic equations and analyze the geometric properties of the irreducible components of such as their desingularizations. Additionally, we explore the non‐singularity and singularity of these irreducible components of .
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Park et al. (2025) studied this question.
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