EXAMPLES OF A NON-VANISHING CONJECTURE OF KAWAMATA
Keyword(s):
Let M be a compact complex manifold with a positive holomorphic line bundle L, and K be its canonical line bundle. We give some sufficient conditions for the non-vanishing of H0(M, K + L). We also show that the criterion can be applied to interesting classes of examples including all compact locally hermitian symmetric spaces of non-compact type, Mostow–Siu [10] surfaces, Kähler threefolds given by Deraux [3] and examples of Zheng [17].
2000 ◽
Vol 353
(4)
◽
pp. 1387-1401
◽
Keyword(s):
1997 ◽
Vol 56
(2)
◽
pp. 285-290
2019 ◽
Vol 55
(2)
◽
pp. 283-318
2015 ◽
Vol 67
(1)
◽
pp. 275-291
◽
2005 ◽
Vol 311
(1)
◽
pp. 352-356