Pluripotential theory on algebraic curves in C²

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dc.contributor.advisor Ma'u, S en
dc.contributor.author Hart, Jesse en
dc.date.accessioned 2012-07-13T02:36:33Z en
dc.date.issued 2012 en
dc.identifier.uri http://hdl.handle.net/2292/19317 en
dc.description Full Text is available to authenticated members of The University of Auckland only. en
dc.description.abstract This thesis is concerned with motivating and contributing to the development of pluripotential theory on algebraic curves. The first two sections comprise a self-contained exposition of the necessary background information required to understand pluripotential theory on algebraic curves. The following two sections discuss some of the problems that arise in pluripotential theory when on algebraic curves. In particular, we simplify some of the proofs from Ma'u's paper [10], study directional Chebyshev constants under transformation by polynomial maps between algebraic curves and extend Ma'u's work to general algebraic curves. We also study a possible generalisation of the Robin's function to algebraic curves and in doing so prove an analogue of Sadullaev's theorem on Green's functions ([16], Prop. 3.4) for the Robin's function of a compact set KcC². en
dc.publisher ResearchSpace@Auckland en
dc.relation.ispartof Masters Thesis - University of Auckland en
dc.relation.isreferencedby UoA en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights Restricted Item. Full Text is available to authenticated members of The University of Auckland only. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/nz/ en
dc.title Pluripotential theory on algebraic curves in C² en
dc.type Thesis en
thesis.degree.discipline Mathematics en
thesis.degree.grantor The University of Auckland en
thesis.degree.level Masters en
dc.rights.holder Copyright: The author en
pubs.elements-id 358361 en
pubs.record-created-at-source-date 2012-07-13 en


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