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Singularity of ℚ-divisors of multidegree one in multiprojective space

2025/05/02 by Supravat Sarkar, Sarkar, Supravat
Mathematics · #advanced mathematical theories #Advanced Differential Equations and Dynamical Systems #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.2505.00960

Abstract

We study singularity of effective ℚ-divisors on products of projective spaces of multidegree (1,1...,1). This generalizes works of Bath, Mustaţă 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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