Mori, On 3 -dimensional terminal singularities , Nagoya Math

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math.AG · 2024-01-09 · unverdicted · novelty 5.0

Proves optimal Kawamata-Miyaoka inequality for terminal Q-Fano threefolds of index >=3 and derives c1^3 < 3 c2 c1 for all such threefolds.

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Kawamata-Miyaoka-type inequality for $\mathbb Q$-Fano varieties with canonical singularities II: Terminal $\mathbb Q$-Fano threefolds math.AG · 2024-01-09 · unverdicted · none · ref 19
Proves optimal Kawamata-Miyaoka inequality for terminal Q-Fano threefolds of index >=3 and derives c1^3 < 3 c2 c1 for all such threefolds.