Hyperbolic algebraic and analytic curves

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dc.creatorAgler, Jim
dc.creatorMcCarthy, John E.
dc.date2006-11-07
dc.date.accessioned2026-07-07T07:32:37Z
dc.date.available2026-07-07T07:32:37Z
dc.descriptionA hyperbolic algebraic curve is a bounded subset of an algebraic set. We study the function theory and functional analytic aspects of these sets. We show that their function theory can be described by finite codimensional subalgebras of the holomorphic functions on the desingularization. We show that classical analytic techniques, such as interpolation, can be used to answer geometric questions about the existence of biholomorphic maps. Conversely, we show that the algebraic-geometric viewpoint leads to interesting questions in classical analysis.
dc.identifierhttps://arxiv.org/abs/math/0611206
dc.identifierhttp://arxiv.org/abs/math/0611206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119175
dc.subjectFunctional Analysis
dc.subjectComplex Variables
dc.subject46H10; 14H15
dc.titleHyperbolic algebraic and analytic curves
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