Wahl's conjecture on rational homology disk singularities
Wahl's conjecture on rational homology disk singularities
A rational homology disk singularity is a normal surface singularity whose link bounds a rational homology disk; a Wahl singularity is a cyclic quotient surface singularity of the form , where and . Wahl's conjecture. Every rational homology disk singularity is a Wahl singularity. The conjecture predicts that all rational homology disk singularities belong to the cyclic quotient class introduced by Wahl. The supplied text gives no resolution status, so it remains open here.
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Sources & referencesView supporting material
Primary source
Marcos Canedo and Giancarlo Urzúa, “Rational homology disk degenerations of elliptic surfaces”, arXiv:2605.06668 (2026).
Additional references
8 papers in this index state this conjecture (1999–2026). The statement above is taken from the most recent of them; the others are arXiv:2601.15244, arXiv:1903.03661, arXiv:1802.04618, arXiv:1711.04463, arXiv:1507.00230, arXiv:1403.3844, arXiv:math/9911171.
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