A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions (Q2256837)
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| Language | Label | Description | Also known as |
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| English | A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions |
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A complex surface admitting a strongly plurisubharmonic function but no holomorphic functions (English)
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23 February 2015
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The main result of the paper is stated as its title: of course, the function mentioned there is non-exhaustive! The surface in question is an open neighbourhood of a real compact surface of genus at most 2 in the complex projective plane. The construction of a strongly plurisubharmonic function is quite explicit and elementary. To show the non-existence of holomorphic functions, on the other hand, the author relies on a deep theorem of Nemirovski.
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Stein manifold
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plurisubharmonic function
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exhaustion function
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