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arXiv · 2505.00960

Singularity of $\mathbb{Q}$-divisors of multidegree one in multiprojective space

Supravat Sarkar
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Abstract

We study singularity of effective $\mathbb{Q}$-divisors on products of projective spaces of multidegree $(1,1...,1).$ This generalizes works of Bath, Musta{ţ}{ă} 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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Supravat Sarkar. 2025-05-02. Singularity of $\mathbb{Q}$-divisors of multidegree one in multiprojective space. https://arxiv.org/abs/2505.00960

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