Unnormalize conical Kähler-Ricci flow

Abstract

We generalize the maximal time existence of Kähler-Ricci flow in Tian-Zhang and Song-Tian to conical case. Furthermore, if the twisted canonical bundle $K_M+(1-\beta )[D]$ is big or big and nef, we can expect more on the limit behaviors of such conical Kähler-Ricci flow. Moreover, the results still hold for simple normal crossing divisor.

References in corpus (5)

• K-stability and Kähler-Einstein metrics
• Kahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof
• The Kahler-Ricci flow through singularities
• Kahler-Einstein metrics on Fano manifolds, II: limits with cone angle less than 2 π
• Conical Kahler-Einstein metric revisited

Cited by in corpus (1)

• Bounding diameter of conical Kahler metric