Geodesic
On Numerical Nonvanishing for Generalized Log Canonical Pairs
Documenta mathematica, Tome 25 (2020), pp. 93-123
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The nonvanishing conjecture for projective log canonical pairs plays a key role in the minimal model program of higher dimensional algebraic geometry. The numerical nonvanishing conjecture considered in this paper is a weaker version of the usual nonvanishing conjecture, but valid in the more general setting of generalized log canonical pairs. We confirm it in dimension two. Under some necessary conditions we obtain effective versions of numerical nonvanishing for surfaces. Several applications are also discussed.
DOI : 10.4171/dm/739
Classification : 14E30
Mots-clés : generalized polarized pair, numerical nonvanishing 
@article{10_4171_dm_739,
     author = {Jingjun Han and Wenfei Liu},
     title = {On {Numerical} {Nonvanishing} for {Generalized} {Log} {Canonical} {Pairs}},
     journal = {Documenta mathematica},
     pages = {93--123},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/739},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/739/}
}
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Jingjun Han; Wenfei Liu. On Numerical Nonvanishing for Generalized Log Canonical Pairs. Documenta mathematica, Tome 25 (2020), pp. 93-123. doi: 10.4171/dm/739

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