# Kähler-Einstein metrics singular along a smooth divisor

Journées équations aux dérivées partielles (1999)

- page 1-10
- ISSN: 0752-0360

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topMazzeo, Raffe. "Kähler-Einstein metrics singular along a smooth divisor." Journées équations aux dérivées partielles (1999): 1-10. <http://eudml.org/doc/93383>.

@article{Mazzeo1999,

abstract = {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.},

author = {Mazzeo, Raffe},

journal = {Journées équations aux dérivées partielles},

keywords = {Kähler-Einstein metrics; compact Kähler manifolds; incomplete singularity along a smooth divisor},

language = {eng},

pages = {1-10},

publisher = {Université de Nantes},

title = {Kähler-Einstein metrics singular along a smooth divisor},

url = {http://eudml.org/doc/93383},

year = {1999},

}

TY - JOUR

AU - Mazzeo, Raffe

TI - Kähler-Einstein metrics singular along a smooth divisor

JO - Journées équations aux dérivées partielles

PY - 1999

PB - Université de Nantes

SP - 1

EP - 10

AB - 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.

LA - eng

KW - Kähler-Einstein metrics; compact Kähler manifolds; incomplete singularity along a smooth divisor

UR - http://eudml.org/doc/93383

ER -

## References

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