Orbifoldes à première classe de Chern nulle
Campana, Frederic
HAL, hal-00121134 / Harvested from HAL
Text on HAL
An orbifold version of Bogomolov decomposition theorem is established for compact Kähler spaces with quotient singularities and first Chern class zero.The proof is a direct adaptation of the classical smooth case, using Ricci-flat Kähler metrics, and Cheeger-Gromoll splitting theorem. It implies that normal K3 surfaces are uniformised in the orbifold sense either by normal K3 surfaces or by a complex torus, as conjectured by D.Q. Zhang. It also implies some conjectures on "special" threefolds raised in math.AG/0110051
Publié le : 2004-07-05
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00121134,
     author = {Campana, Frederic},
     title = {Orbifoldes \`a premi\`ere classe de Chern nulle},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00121134}
}

Campana, Frederic. Orbifoldes à première classe de Chern nulle. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00121134/