Orbifoldes, variétés spéciales et classification des variétés K\" ahlériennes compactes
Campana, Frederic
HAL, hal-00121125 / Harvested from HAL
Text on HAL
This text is an introduction to math.AG/0110051 (to appear in Ann. Inst. Fourier), and describes a canonical decomposition of compact Kähler manifolds $X$ first by means of their "core", the unique fibration on $X$ with fibres special, and orbifold base of general type. Being special means that there does not exist a fibration onto an orbifold of general type. The core is next decomposed into a tower of fibrations with all orbifold fibres either with $\kappa=0$, or rationally generated (a weak version of rationally connected).
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-00121125,
     author = {Campana, Frederic},
     title = {Orbifoldes, vari\'et\'es sp\'eciales et classification des vari\'et\'es K\" ahl\'eriennes compactes},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00121125}
}

Campana, Frederic. Orbifoldes, variétés spéciales et classification des variétés K\" ahlériennes compactes. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00121125/