1202.6470 (Stefan Ivanov et al.)

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

Stefan Ivanov, George Papadopoulos

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, kView original: http://arxiv.org/abs/1202.6470