Kähler-Einstein metrics singular along a smooth divisor
Mazzeo, Raffe
Journées équations aux dérivées partielles, (1999), p. 1-10 / Harvested from Numdam
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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.

Publié le : 1999-01-01
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     author = {Mazzeo, Raffe},
     title = {K\"ahler-Einstein metrics singular along a smooth divisor},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1999},
     pages = {1-10},
     zbl = {01810579},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1999____A6_0}
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Mazzeo, Raffe. Kähler-Einstein metrics singular along a smooth divisor. Journées équations aux dérivées partielles,  (1999), pp. 1-10. http://gdmltest.u-ga.fr/item/JEDP_1999____A6_0/

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