J. Aust. Math. Soc.  80 (2006), 273-296
Twisted complex geometry

Shuguang Wang
  Department of Mathematics
  University of Missouri
  Columbia, MO 65211

We introduce complex differential geometry twisted by a real line bundle. This provides a new approach to understand the various real objects that are associated with an anti-holomorphic involution. We also generalize a result of Greenleaf about real analytic sheaves from dimension 2 to higher dimensions.
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