Geodesic
Kähler-Einstein metrics singular along a smooth divisor
Journées équations aux dérivées partielles (1999), article no. 6, 10 p.

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In this note we discuss some recent and ongoing joint work with Thalia Jeffres concerning the existence of Kähler-Einstein metrics on compact Kähler manifolds which have a prescribed incomplete singularity along a smooth divisor D. We shall begin with a general discussion of the problem, and give a rough outline of the “classical” proof of existence in the smooth case, due to Yau and Aubin, where no singularities are prescribed. Following this is a discussion of the geometry of the conical or edge singularities and then some discussion of the new elements of the proof in this context.

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     author = {Mazzeo, Raffe},
     title = {K\"ahler-Einstein metrics singular along a smooth divisor},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {6},
     pages = {1--10},
     publisher = {Universit\'e de Nantes},
     year = {1999},
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Mazzeo, Raffe. Kähler-Einstein metrics singular along a smooth divisor. Journées équations aux dérivées partielles (1999), article  no. 6, 10 p.. doi: 10.5802/jedp.550

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