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arXiv · 2507.05430

Toric reduction of singularities for Newton nondegenerate $p$-forms

Bilal Balo
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Abstract

We study a class of holomorphic $p$-forms satisfying nondegeneracy conditions expressed through their Newton polyhedron and called Newton nondegenerate (NND). We give a characterization of NND $p$-forms by their toric reduction of singularities defined through a regular refinement of their dual fan. We then present an application of this result to the study of singularities of $(n-1)$-forms on $\mathbb{C}^n$.

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Bilal Balo. 2025-07-07. Toric reduction of singularities for Newton nondegenerate $p$-forms. https://arxiv.org/abs/2507.05430

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