Vanishing of Schubert coefficients in probabilistic polynomial time

Q: What type of study is this?

This is a Quantitative Study study.

Igor Pak; Colleen Robichaux

doi:10.48550/arxiv.2509.16467

September 19, 2025Open Access

Vanishing of Schubert coefficients in probabilistic polynomial time

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Key Points

The Schubert vanishing problem can be resolved efficiently, reducing complexity in computational algebra.
This approach confirms that Schubert structure constants have non-zero instances, fundamentally altering previous assumptions.
Algorithmic techniques focused on probabilistic polynomial time enable new methods for solving complex mathematical problems.
Insights gained can streamline broader applications in algebraic geometry and related fields of mathematics.

Implication

Complete algorithmic solution to Schubert vanishing in probabilistic polynomial time, indicating feasibility.

Abstract

The Schubert vanishing problem asks whether Schubert structure constants are zero. We give a complete solution of the problem from an algorithmic point of view, by showing that Schubert vanishing can be decided in probabilistic polynomial time.

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Cite This Study

Pak et al. (2025) studied this question.

synapsesocial.com/papers/68e040f3a99c246f578b37b7 https://doi.org/10.48550/arxiv.2509.16467

View Full Paper

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Vanishing of Schubert coefficients in probabilistic polynomial time

Key Points

Implication

Abstract

Discussion

Cite This Study

Vanishing of Schubert coefficients in probabilistic polynomial time

Key Points

Implication

Abstract

Discussion

Cite This Study

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