On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow

By Yanir A. Rubinstein. 2007

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In this note we construct Nadel multiplier ideal sheaves using the Ricci flow on Fano manifolds. This extends a result of Phong, Sesum, and Sturm. These sheaves, like their counterparts constructed by Nadel for the continuity method, can be used to obtain an existence criterion for Kahler-Einstein metrics.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9ef0ffb9c70474f3930c32bdb400dbf8b7e2e788

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In Applied Mathematics

In Astronomy and Astrophysics

In Geometry and Topology

Citations in the corpus

Ricci flow on surfaces with conic singularities (2013, background): “Note too that [Rubinstein 2009] provided a new proof of the uniformization”
Lectures on Stability and Constant Scalar Curvature (2008, methodology): “This last statement has been recently strengthened by Rubinstein [118] to the same range p ∈ ( n n+1 ,∞) that Nadel [97] established for the multiplier ideal sheaves obtained from the method of continuity.”
The Kähler–Ricci flow on Hirzebruch surfaces (2009, background): “ity conditions to prove convergence properties of the Kähler–Ricci flow is an area of considerable current interest and we refer the reader to [21], [19], [22], [23], [25], [31], [24], [36] and [5] for some recent advances (however, this list of references is far from complete).”