Wedge product of positive currents and balanced manifolds
Alessandrini, Lucia ; Bassanelli, Giovanni
Tohoku Math. J. (2), Tome 60 (2008) no. 1, p. 123-134 / Harvested from Project Euclid
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We define on a manifold $X$ a wedge product $S \wedge T$ of a closed positive (1,1)-current $S$, smooth outside a proper analytic subset $Y$ of $X$, and a positive pluriharmonic $(k,k)$-current $T$, when $k$ is less than the codimension of $Y$. Using this tool, we prove that if $M$ is a compact complex manifold of dimension $n \geq 3$, which is Kähler outside an irreducible curve, then $M$ carries a balanced metric.
Publié le : 2008-05-15
Classification:  Wedge product of currents,  positive currents,  plurisubharmonic currents,  Kähler manifolds,  balanced manifolds,  32J27,  32U40,  32J17 
@article{1206734409,
     author = {Alessandrini, Lucia and Bassanelli, Giovanni},
     title = {Wedge product of positive currents and balanced manifolds},
     journal = {Tohoku Math. J. (2)},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 123-134},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1206734409}
}

Alessandrini, Lucia; Bassanelli, Giovanni. Wedge product of positive currents and balanced manifolds. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp.  123-134. http://gdmltest.u-ga.fr/item/1206734409/