Complex orientations of real algebraic surfaces

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dc.creatorViro, Oleg
dc.date2006-11-13
dc.date.accessioned2026-07-07T07:32:52Z
dc.date.available2026-07-07T07:32:52Z
dc.descriptionWe study natural additional structures on real algebraic surfaces with trivial first homology mod 2 of the complexification. If the set of real points realizes the zero of the second homology mod 2 of the complexification, then the set of real points is equipped with a pair of opposite orientations and a Spin structure. If the set of real points realizes the same homology class as the complexification of a real curve on the surface, then the complement of the curve in set of real points is equipped a pair of opposite orientations, which do not extend across the curve, and the whole set of real points is equipped with a Pin^- structure. These constructions are similar to the complex orientations of real algebraic curves dividing their complexifications and generalize to high dimensions.
dc.identifierhttps://arxiv.org/abs/math/0611396
dc.identifierhttp://arxiv.org/abs/math/0611396
dc.identifierAdvances in Soviet Math., vol. 18, 1994, 261-284
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119262
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject14P25; 14F25; 14F45
dc.titleComplex orientations of real algebraic surfaces
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