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- W2964350079 abstract "We construct a holomorphically varying family of complex surfaces <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X Subscript s> <mml:semantics> <mml:msub> <mml:mi>X</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:annotation encoding=application/x-tex>X_s</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, parametrized by the points <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=s> <mml:semantics> <mml:mi>s</mml:mi> <mml:annotation encoding=application/x-tex>s</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in any Stein manifold, such that every <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X Subscript s> <mml:semantics> <mml:msub> <mml:mi>X</mml:mi> <mml:mi>s</mml:mi> </mml:msub> <mml:annotation encoding=application/x-tex>X_s</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a long <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper C squared> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>C</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb {C}^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula> which is biholomorphic to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper C squared> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>C</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb {C}^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula> for some but not all values of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=s> <mml:semantics> <mml:mi>s</mml:mi> <mml:annotation encoding=application/x-tex>s</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
- W2964350079 created "2019-07-30" @default.
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- W2964350079 date "2011-11-03" @default.
- W2964350079 modified "2023-09-25" @default.
- W2964350079 title "Holomorphic families of long ℂ²’s" @default.
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- W2964350079 doi "https://doi.org/10.1090/s0002-9939-2011-11092-x" @default.
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