2 problems

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The alpha-invariant characterization of projective space for K-semistable Fano manifolds
Alpha-invariant conjecture.
Conjectureopenalpha-invariant fano-manifolds k-stabilityarXiv posted 2 days ago
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Equality of alpha and conical alpha invariants for degree-one del Pezzo surfaces
Let $S$ be a smooth del Pezzo surface of degree $1$ with no cuspidal curve in $|-K_S|$ , let $A$ be an ample divisor on $S$ , and let $\alpha(S,A)$ and $\alpha_c(S,A)$ denote the alp…
Conjectureopenalpha-invariant del-pezzo-surfaces k-stabilityarXiv posted 2 days ago

The alpha-invariant characterization of projective space for K-semistable Fano manifolds