O. Biquard

collaborators

2 papers

math.DG2025

Degenerating conic KÃ¤hler-Einstein metrics to the normal cone

Olivier Biquard, Henri Guenancia

Let $X$ be a Fano manifold of dimension at least $2$ and $D$ be a smooth divisor in a multiple of the anticanonical class, $\frac{1}{I ^} \pm (- K_{X})$ with $I^\pm > 1$ . It is well-known that KÃ¤hl…

math.DG2025

Instability of conformally KÃ¤hler, Einstein metrics

Olivier Biquard, Tristan Ozuch

We prove the instability of conformally KÃ¤hler, compact or ALF Einstein 4-manifolds with nonnegative scalar curvature which are not half conformally flat. This applies to all the…