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Encomplexed Brown Invariant of Real Algebraic Surfaces in RP3
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics. (Topology)
2013 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 51, no 2, 251-267 p.Article in journal (Other academic) Published
Abstract [en]

We construct an invariant of parametrized generic real algebraic surfaces in RP3 which generalizes the Brown invariant of immersed surfaces from smooth topology. The invariant is constructed using the self intersection, which is a real algebraic curve with points of three local characters: the intersection of two real sheets, the intersection of two complex conjugate sheets or a Whitney umbrella. The Brown invariant was expressed through a self linking number of the self intersection by Kirby and Melvin. We extend the definition of this self linking number to the case of parametrized generic real algebraic surfaces.

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2013. Vol. 51, no 2, 251-267 p.
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URN: urn:nbn:se:uu:diva-156749DOI: 10.1007/s11512-012-0176-6ISI: 000323247000003OAI: oai:DiVA.org:uu-156749DiVA: diva2:433144
Available from: 2011-08-09 Created: 2011-08-09 Last updated: 2013-09-09Bibliographically approved

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Björklund, Johan
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