FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3106436701> ?p ?o ?g. }

• W3106436701 endingPage "4626" @default.
• W3106436701 startingPage "4613" @default.
• W3106436701 abstract "A complex manifold <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper Y> <mml:semantics> <mml:mi>Y</mml:mi> <mml:annotation encoding=application/x-tex>Y</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is said to have the interpolation property if a holomorphic map to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper Y> <mml:semantics> <mml:mi>Y</mml:mi> <mml:annotation encoding=application/x-tex>Y</mml:annotation> </mml:semantics> </mml:math> </inline-formula> from a subvariety <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S> <mml:semantics> <mml:mi>S</mml:mi> <mml:annotation encoding=application/x-tex>S</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of a reduced Stein space <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X> <mml:semantics> <mml:mi>X</mml:mi> <mml:annotation encoding=application/x-tex>X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> has a holomorphic extension to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X> <mml:semantics> <mml:mi>X</mml:mi> <mml:annotation encoding=application/x-tex>X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> if it has a continuous extension. Taking <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper S> <mml:semantics> <mml:mi>S</mml:mi> <mml:annotation encoding=application/x-tex>S</mml:annotation> </mml:semantics> </mml:math> </inline-formula> to be a contractible submanifold of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X equals double-struck upper C Superscript n> <mml:semantics> <mml:mrow> <mml:mi>X</mml:mi> <mml:mo>=</mml:mo> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>C</mml:mi> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding=application/x-tex>X=mathbb {C}^n</mml:annotation> </mml:semantics> </mml:math> </inline-formula> gives an ostensibly much weaker property called the convex interpolation property. By a deep theorem of Forstnerič, the two properties are equivalent. They (and about a dozen other nontrivially equivalent properties) define the class of Oka manifolds. This paper is the first attempt to develop Oka theory for singular targets. The targets that we study are affine toric varieties, not necessarily normal. We prove that every affine toric variety satisfies a weakening of the interpolation property that is much stronger than the convex interpolation property, but the full interpolation property fails for most affine toric varieties, even for a source as simple as the product of two annuli embedded in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper C Superscript 4> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>C</mml:mi> </mml:mrow> <mml:mn>4</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb {C}^4</mml:annotation> </mml:semantics> </mml:math> </inline-formula>." @default.
• W3106436701 created "2020-11-23" @default.
• W3106436701 creator A5011319661 @default.
• W3106436701 creator A5054179871 @default.
• W3106436701 date "2016-04-19" @default.
• W3106436701 modified "2023-10-16" @default.
• W3106436701 title "Extending holomorphic maps from Stein manifolds into affine toric varieties" @default.
• W3106436701 cites W1485272308 @default.
• W3106436701 cites W2019386427 @default.
• W3106436701 cites W2019785216 @default.
• W3106436701 cites W2061473584 @default.
• W3106436701 cites W2962703050 @default.
• W3106436701 cites W4205111176 @default.
• W3106436701 cites W4205502224 @default.
• W3106436701 cites W4206217620 @default.
• W3106436701 cites W4235939950 @default.
• W3106436701 cites W4293207255 @default.
• W3106436701 doi "https://doi.org/10.1090/proc/13108" @default.
• W3106436701 hasPublicationYear "2016" @default.
• W3106436701 type Work @default.
• W3106436701 sameAs 3106436701 @default.
• W3106436701 citedByCount "2" @default.
• W3106436701 countsByYear W31064367012017 @default.
• W3106436701 countsByYear W31064367012020 @default.
• W3106436701 crossrefType "journal-article" @default.
• W3106436701 hasAuthorship W3106436701A5011319661 @default.
• W3106436701 hasAuthorship W3106436701A5054179871 @default.
• W3106436701 hasBestOaLocation W31064367011 @default.
• W3106436701 hasConcept C11413529 @default.
• W3106436701 hasConcept C127313418 @default.
• W3106436701 hasConcept C151730666 @default.
• W3106436701 hasConcept C154945302 @default.
• W3106436701 hasConcept C2776321320 @default.
• W3106436701 hasConcept C2777299769 @default.
• W3106436701 hasConcept C33923547 @default.
• W3106436701 hasConcept C41008148 @default.
• W3106436701 hasConceptScore W3106436701C11413529 @default.
• W3106436701 hasConceptScore W3106436701C127313418 @default.
• W3106436701 hasConceptScore W3106436701C151730666 @default.
• W3106436701 hasConceptScore W3106436701C154945302 @default.
• W3106436701 hasConceptScore W3106436701C2776321320 @default.
• W3106436701 hasConceptScore W3106436701C2777299769 @default.
• W3106436701 hasConceptScore W3106436701C33923547 @default.
• W3106436701 hasConceptScore W3106436701C41008148 @default.
• W3106436701 hasIssue "11" @default.
• W3106436701 hasLocation W31064367011 @default.
• W3106436701 hasLocation W31064367012 @default.
• W3106436701 hasLocation W31064367013 @default.
• W3106436701 hasOpenAccess W3106436701 @default.
• W3106436701 hasPrimaryLocation W31064367011 @default.
• W3106436701 hasRelatedWork W151193258 @default.
• W3106436701 hasRelatedWork W1529400504 @default.
• W3106436701 hasRelatedWork W1871911958 @default.
• W3106436701 hasRelatedWork W1892467659 @default.
• W3106436701 hasRelatedWork W2008607650 @default.
• W3106436701 hasRelatedWork W2348710178 @default.
• W3106436701 hasRelatedWork W2349865494 @default.
• W3106436701 hasRelatedWork W2998403542 @default.
• W3106436701 hasRelatedWork W3201926073 @default.
• W3106436701 hasRelatedWork W73525116 @default.
• W3106436701 hasVolume "144" @default.
• W3106436701 isParatext "false" @default.
• W3106436701 isRetracted "false" @default.
• W3106436701 magId "3106436701" @default.
• W3106436701 workType "article" @default.