If a smooth Fano manifold admits a Kähler-Ricci soliton, then for all sufficiently large k the canonical cone of X times complex projective k-space has a Calabi-Yau cone structure.
Aubin, R´ eduction du cas positif de l’´ equation de Monge-Amp` eere sur les vari´ et´ es k¨ ahl´ eriennes compactes ` a la d´ emonstration d’une in´ egalit´ e, J
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.DG 1years
2024 1verdicts
ACCEPT 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
From K\"ahler Ricci solitons to Calabi-Yau K\"ahler cones
If a smooth Fano manifold admits a Kähler-Ricci soliton, then for all sufficiently large k the canonical cone of X times complex projective k-space has a Calabi-Yau cone structure.