Mathematics > Algebraic Geometry
arXiv:2604.25709 (math)
[Submitted on 28 Apr 2026 (v1), last revised 25 Jun 2026 (this version, v3)]
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.
Submission history
From: Julius Giesler [view email]
[v1]
Tue, 28 Apr 2026 14:34:30 UTC (9 KB)
[v2]
Mon, 1 Jun 2026 12:08:41 UTC (1 KB) (withdrawn)
[v3]
Thu, 25 Jun 2026 13:00:20 UTC (10 KB)
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