Fano–Iskovskikh degree bound conjecture for canonical Gorenstein Fano threefolds

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Let VV be a Fano threefold with canonical Gorenstein singularities.

Fano–Iskovskikh conjecture.

−KV3≤72.-K_V^3\le 72.

This conjecture refines the previously known explicit bound −KV3≤184-K_V^3\le 184 for such Fano threefolds; the source presents the bound as the expected sharp improvement.

References

Primary source

Yuri G. Prokhorov, “On the degree of Fano threefolds with canonical Gorenstein singularities”, arXiv:math/0405347 (2025).

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