Symmetries and Kähler-Einstein metrics
Arezzo, Claudio ; Ghigi, Alessandro
Bollettino dell'Unione Matematica Italiana, Tome 8-A (2005), p. 605-613 / Harvested from Biblioteca Digitale Italiana di Matematica
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We consider Fano manifolds $M$ that admit a collection of finite automorphism groups $G_1, \ldots, G_k$ , such that the quotients $M/G_i$ are smooth Fano manifolds possessing a Kähler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that $M$ admits a Kähler-Einstein metric too.

Si considerano varietà di Fano $M$ che ammettono un certo numero di rivestimenti di Galois $M\rightarrow M_i$, su delle varietà di Fano lisce $M_i$ che ammettono una metrica di Kähler-Einstein. Sotto alcune ipotesi numeriche sui divisori di ramificazione si dimostra che allora anche su $M$ esiste una metrica di Kähler-Einstein.

Publié le : 2005-10-01
@article{BUMI_2005_8_8B_3_605_0,
     author = {Claudio Arezzo and Alessandro Ghigi},
     title = {Symmetries and K\"ahler-Einstein metrics},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {8-A},
     year = {2005},
     pages = {605-613},
     zbl = {1178.53040},
     mrnumber = {2182418},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2005_8_8B_3_605_0}
}

Arezzo, Claudio; Ghigi, Alessandro. Symmetries and Kähler-Einstein metrics. Bollettino dell'Unione Matematica Italiana, Tome 8-A (2005) pp. 605-613. http://gdmltest.u-ga.fr/item/BUMI_2005_8_8B_3_605_0/

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