The purpose of this chapter is to show that strong holomorphic n-convexity on a complex space M allows to obtain some holomorphic 0-convexity properties on the space \(\mathcal {C}_{n}(M)\) of compact n-cycles in M.

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Convexity of Cycles Spaces

  • Daniel Barlet,
  • Jón Magnússon

摘要

The purpose of this chapter is to show that strong holomorphic n-convexity on a complex space M allows to obtain some holomorphic 0-convexity properties on the space \(\mathcal {C}_{n}(M)\) of compact n-cycles in M.