Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion

Details Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion Vanishing theorems on (l|k)-strong Kaehler manifolds with torsion

2012-02-29

arxiv.org/abs/1202.6470v1

Mathematics

Differential Geometry

20 pages

Scientific paper

We derive sufficient conditions for the vanishing of plurigenera, $p_m(J), m>0$, on compact (l|k)-strong, $\omega^l\wedge \partial\bar\partial \omega^k=0$, Kaehler manifolds with torsion. In particular, we show that the plurigenera of compact (l|k)-strong manifolds, k

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