By working on the symplectic blow-up, we show that the symplectic divisors produced by Donaldson in [D] may be chosen so that they contain a fixed symplectic submanifold or, in a complementary direction, so that they cut it transversally with a symplectic intersection.
Paoletti, R. (2001). Symplectic submanifolds in special position. ISRAEL JOURNAL OF MATHEMATICS, 123, 241-251 [10.1007/BF02784129].
Symplectic submanifolds in special position
PAOLETTI, ROBERTO
2001
Abstract
By working on the symplectic blow-up, we show that the symplectic divisors produced by Donaldson in [D] may be chosen so that they contain a fixed symplectic submanifold or, in a complementary direction, so that they cut it transversally with a symplectic intersection.
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