Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
Frédéric Campana; Henri Guenancia; Mihai Păun
Annales scientifiques de l'École Normale Supérieure (2013)
- Volume: 46, Issue: 6, page 879-916
- ISSN: 0012-9593
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topCampana, Frédéric, Guenancia, Henri, and Păun, Mihai. "Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields." Annales scientifiques de l'École Normale Supérieure 46.6 (2013): 879-916. <http://eudml.org/doc/272204>.
@article{Campana2013,
abstract = {We prove the existence of non-positively curved Kähler-Einstein metrics with cone singularities along a given simple normal crossing divisor of a compact Kähler manifold, under a technical condition on the cone angles, and we also discuss the case of positively-curved Kähler-Einstein metrics with cone singularities. As an application we extend to this setting classical results of Lichnerowicz and Kobayashi on the parallelism and vanishing of appropriate holomorphic tensor fields.},
author = {Campana, Frédéric, Guenancia, Henri, Păun, Mihai},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {kähler-Einstein metrics; cone singularities; orbifold tensors; Monge-ampère equations},
language = {eng},
number = {6},
pages = {879-916},
publisher = {Société mathématique de France},
title = {Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields},
url = {http://eudml.org/doc/272204},
volume = {46},
year = {2013},
}
TY - JOUR
AU - Campana, Frédéric
AU - Guenancia, Henri
AU - Păun, Mihai
TI - Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2013
PB - Société mathématique de France
VL - 46
IS - 6
SP - 879
EP - 916
AB - We prove the existence of non-positively curved Kähler-Einstein metrics with cone singularities along a given simple normal crossing divisor of a compact Kähler manifold, under a technical condition on the cone angles, and we also discuss the case of positively-curved Kähler-Einstein metrics with cone singularities. As an application we extend to this setting classical results of Lichnerowicz and Kobayashi on the parallelism and vanishing of appropriate holomorphic tensor fields.
LA - eng
KW - kähler-Einstein metrics; cone singularities; orbifold tensors; Monge-ampère equations
UR - http://eudml.org/doc/272204
ER -
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