Global Variants of Hartogs' Theorem
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24
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Oberwolfach Preprints (OWP)
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Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
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Abstract
Hartogs' theorem asserts that a separately holomorphic function, defined on an open subset of Cⁿ, is holomorphic in all the variables. We prove a global variant of this theorem for functions defined on an open subset of the product of complex algebraic manifolds. We also obtain global Hartogs-type theorems for complex Nash functions and complex regular functions.
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Keywords GND
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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.