IRREGULAR MANIFOLDS WHOSE CANONICAL SYSTEM IS COMPOSED OF A PENCIL
Asian J. Math., Tome 8 (2004) no. 1, p. 027-038 / Harvested from Project Euclid
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Let X be a complex projective n-dimensional manifold of general type whose canonical system is composite with a pencil. If the Albanese map is generically finite, but not surjective, or if the irregularity is strictly larger than n and the image of X in Alb(X) is of Kodaira dimension one, then the geometric genus pg(F) of a general fibre F of the canonical map is one and the latter factors through the Albanese map. The last part of this result holds true for any threefold with q(X) ≥ 5.
Publié le : 2004-01-14
Classification:  
@article{1087840906,
     author = {CAI
, JIN-XING and VIEHWEG
, ECKART},
     title = {IRREGULAR MANIFOLDS WHOSE CANONICAL SYSTEM
IS COMPOSED OF A PENCIL},
     journal = {Asian J. Math.},
     volume = {8},
     number = {1},
     year = {2004},
     pages = { 027-038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087840906}
}

CAI
, JIN-XING; VIEHWEG
, ECKART. IRREGULAR MANIFOLDS WHOSE CANONICAL SYSTEM
IS COMPOSED OF A PENCIL. Asian J. Math., Tome 8 (2004) no. 1, pp.  027-038. http://gdmltest.u-ga.fr/item/1087840906/