An introduction to the Kähler-Ricci flow / Sébastien Boucksom, Philippe Eyssidieux, Vincent Guedj

Auteur secondaire : Boucksom, Sébastien (1976-) - Editeur scientifique ; Eyssidieux, Philippe (1969-) - Editeur scientifique ; Guedj, Vincent - Editeur scientifiqueType de document: Livre numériqueCollection: Lecture notes in mathematics ; 2086Langue: anglaisÉditeur: New York : Springer, cop. 2013 ISBN: 9783319008189 Note: Contents: Sébastien Boucksom, "Philippe Eyssidieux and Vincent Guedj, Introduction”, 1–6. Cyril Imbert and Luis Silvestre, "An introduction to fully nonlinear parabolic equations”, 7–88. Jian Song and Ben Weinkove, "An introduction to the Kähler-Ricci flow”, 89–188. Sébastien Boucksom and Vincent Guedj, "Regularizing properties of the Kähler-Ricci flow”, 189–237. Huai-Dong Cao, "The Kähler-Ricci flow on Fano manifolds”, 239–297. Vincent Guedj, "Convergence of the Kähler-Ricci flow on a Kähler-Einstein Fano manifold”, 299–333. Sujets MSC: 53C44 Differential geometry -- Global differential geometry -- Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
53C21 Differential geometry -- Global differential geometry -- Methods of Riemannian geometry, including PDE methods; curvature restrictions
32Q15 Several complex variables and analytic spaces -- Complex manifolds -- Kähler manifolds
32Q20 Several complex variables and analytic spaces -- Complex manifolds -- Kähler-Einstein manifolds
14E30 Algebraic geometry -- Birational geometry -- Minimal model program (Mori theory, extremal rays)
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Contents:

Sébastien Boucksom, "Philippe Eyssidieux and Vincent Guedj, Introduction”, 1–6.
Cyril Imbert and Luis Silvestre, "An introduction to fully nonlinear parabolic equations”, 7–88.

Jian Song and Ben Weinkove, "An introduction to the Kähler-Ricci flow”, 89–188.

Sébastien Boucksom and Vincent Guedj, "Regularizing properties of the Kähler-Ricci flow”, 189–237.
Huai-Dong Cao, "The Kähler-Ricci flow on Fano manifolds”, 239–297.
Vincent Guedj, "Convergence of the Kähler-Ricci flow on a Kähler-Einstein Fano manifold”, 299–333.

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