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arXiv · 2604.25709

Certain degenerations of surfaces in fake weighted projective $3$-space

Julius Giesler
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Abstract

We study degenerations (along an edge) of surfaces in (fake) weighted projective $3$-space. We introduce the Hodge theoretic data and show that the Hodge loci of vanishing cycles both might be proper or not. This illustrates results of Green and Voisin.

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Julius Giesler. 2026-04-28. Certain degenerations of surfaces in fake weighted projective $3$-space. https://arxiv.org/abs/2604.25709

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