English

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

Algebraic Geometry 2025-05-05 v1

Abstract

We study singularity of effective Q\mathbb{Q}-divisors on products of projective spaces of multidegree (1,1...,1).(1,1...,1). This generalizes works of Bath, Musta{\c{t}}{\u{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.

Keywords

Cite

@article{arxiv.2505.00960,
  title  = {Singularity of $\mathbb{Q}$-divisors of multidegree one in multiprojective space},
  author = {Supravat Sarkar},
  journal= {arXiv preprint arXiv:2505.00960},
  year   = {2025}
}