On injectivity, vanishing and torsion-free theorems for algebraic varieties
Fujino, Osamu
Proc. Japan Acad. Ser. A Math. Sci., Tome 85 (2009) no. 2, p. 95-100 / Harvested from Project Euclid
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We give a short and almost self-contained proof of generalizations of Kollár’s vanishing and torsion-free theorems. Although they are contained in Ambro's much more general results on embedded normal crossing pairs, we give an alternate and direct reduction argument to the mixed Hodge theory. In this sense, this paper gives a more readable account of the application to the log minimal model program for log canonical pairs.
Publié le : 2009-10-15
Classification:  Vanishing theorem,  torsion-freeness,  injectivity theorem,  Hodge theory,  14F17,  32L20,  14E30 
@article{1254491211,
     author = {Fujino, Osamu},
     title = {On injectivity, vanishing and torsion-free theorems for algebraic varieties},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {85},
     number = {2},
     year = {2009},
     pages = { 95-100},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1254491211}
}

Fujino, Osamu. On injectivity, vanishing and torsion-free theorems for algebraic varieties. Proc. Japan Acad. Ser. A Math. Sci., Tome 85 (2009) no. 2, pp.  95-100. http://gdmltest.u-ga.fr/item/1254491211/