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This is a Quantitative Study study.

September 30, 2025Open Access

On defectivity of joins, reducible secants and Fröberg's conjecture

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New findings confirm several cases of fröberg's conjecture, relating to vector bundles and quasi-projective varieties.
The r-defectivity framework establishes a novel approach to the postulation problem involving fat point schemes.
Analysis of secants yields insights into r-nondefectivity among reducible varieties and their implications.
Results extend to mixture distributions and partition ranks, highlighting broader geometric relationships.

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Implication

This research demonstrates new findings on fröberg's conjecture and the postulation problem for fat point schemes, suggesting deeper links to secants and reducible varieties.

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Blomenhofer et al. (2025) studied this question.

synapsesocial.com/papers/68dc1e358a7d58c25ebb19e6 https://doi.org/10.48550/arxiv.2509.10443

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Implication

This research demonstrates new findings on fröberg's conjecture and the postulation problem for fat point schemes, suggesting deeper links to secants and reducible varieties.

On defectivity of joins, reducible secants and Fröberg's conjecture

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Implication

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On defectivity of joins, reducible secants and Fröberg's conjecture

Key Points

Discussion

Implication

Cite This Study

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