Singularity of Q-divisors of multidegree one in
 multiprojective space

Q: What type of study is this?

This is a Quantitative Study study.

Supravat Sarkar

doi:10.48550/arxiv.2505.00960

May 1, 2025Open Access

Singularity of Q-divisors of multidegree one in multiprojective space

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Key Points

The study uncovers the singularity of effective q-divisors on products of projective spaces.
It builds upon prior research on square-free polynomials, establishing new connections and insights.
A significant lower bound for the log canonical threshold of hypersurfaces in these spaces is provided.
The findings aim to broaden our understanding of geometric properties in multiprojective contexts.

Implication

This analysis reveals properties of q-divisors in multiprojective spaces, highlighting implications on log canonical thresholds.

Abstract

We study singularity of effective Q-divisors on products of projective spaces of multidegree $(1,1...,1).$ This generalizes works of Bath, Musta{{t}}{{a}} and Walther on singularity of square-free polynomials. We also give a lower bound on the log canonical threshold of a hypersurface in products of projective spaces.

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Cite This Study

Supravat Sarkar (2025) studied this question.

synapsesocial.com/papers/68e03501f0e39f13e7fa3945 https://doi.org/10.48550/arxiv.2505.00960

View Full Paper

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Singularity of Q-divisors of multidegree one in multiprojective space

Key Points

Implication

Abstract

Discussion

Cite This Study

Singularity of Q-divisors of multidegree one in multiprojective space

Key Points

Implication

Abstract

Discussion

Cite This Study

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