MathDBPicard number conjecture for non-symmetric Kähler–Einstein toric log del Pezzo surfaces
Picard number conjecture for non-symmetric Kähler–Einstein toric log del Pezzo surfaces
Let be a Kähler–Einstein toric log del Pezzo surface that is not symmetric, meaning its corresponding Fano polygon is not symmetric.
Picard number conjecture. Then has Picard number one.
The conjecture concerns the observed structure of non-symmetric Kähler–Einstein Fano polygons. The source reports verification of the related observation for all known examples up to index , but does not establish the assertion in general.
Sources & referencesView supporting material
Primary source
DongSeon Hwang and Yeonsu Kim, “Symmetric and Kähler–Einstein Fano polygons”, arXiv:2012.13373 (2024).
Additional references
2 papers in this index state this conjecture (2012–2020). The statement above is taken from the most recent of them; the others are arXiv:1201.5464.
Progress summary
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