Lecture notes on the Kähler-Ricci flow
arXiv:1212.3653
Abstract
These lecture notes give an introduction to the Kahler-Ricci flow. They are based on lectures given by the authors at the conference "Analytic Aspects of Complex Algebraic Geometry", held at the Centre International de Rencontres Mathematiques in Luminy, in February 2011.
94 pages
References in corpus (7)
- Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
- Taming symplectic forms and the Calabi-Yau equation
- On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
- The Kahler-Ricci flow through singularities
- Geometry and nonlinear analysis
- A note on Kähler-Ricci soliton
- Metric flips with Calabi ansatz
Cited by in corpus (15)
- Space of Ricci flows (II)
- The Collapsing Rate of the Kähler-Ricci Flow with Regular Infinite Time Singularity
- Ricci flow and birational surgery
- Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces
- Relative volume comparison of Ricci Flow and its applications
- The Chern-Ricci flow and holomorphic bisectional curvature
- Chern-Ricci flows on noncompact complex manifolds
- Local curvature estimates of long-time solutions to the Kähler-Ricci flow
- The continuity method on minimal elliptic Kähler surfaces
- On the collapsing rate of the Kähler-Ricci flow with finite-time singularity
- Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes
- The Kähler-Ricci flow on manifolds with negative holomorphic curvature
- Ricci flow on quasiprojective manifolds II
- Stability of the conical Kähler-Ricci flows on Fano manifolds
- Integral inequalities for holomorphic maps and applications