Stability of Strongly Gauduchon Manifolds Under Modifications
Stability of Strongly Gauduchon Manifolds Under Modifications
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DOI：
10.1007/s12220-011-9257-1
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发表时间：
2010-09
影响因子：
1.1
通讯作者：
D. Popovici
中科院分区：
文献类型：
--
作者：
D. Popovici
In our previous works on deformation limits of projective and Moishezon manifolds, we introduced and made crucial use of the notion ofstrongly Gauduchonmetrics as a reinforcement of the earlier notion of Gauduchon metrics. Using direct and inverse images of closed positive currents of type (1,1) and regularization, we now show that compact complex manifolds carryingstrongly Gauduchonmetrics are stable under modifications. This stability property, known to fail for compact Kähler manifolds, mirrors the modification stability of balanced manifolds proved by Alessandrini and Bassanelli.
