On imaginary plane curves and Spin quotients of complex surfaces by complex conjugation

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dc.creatorFinashin, Sergey
dc.creatorShustin, Eugenii
dc.date1996-07-18
dc.date.accessioned2026-07-07T09:06:53Z
dc.date.available2026-07-07T09:06:53Z
dc.descriptionIt is proven that for any topological or analytical types of isolated singular points of plane curves, there exists a non-real irreducible plane algebraic curve of degree $d$ which goes through $d^2$ real distinct points and has imaginary singular points of the given types. This result is used to construct a series of examples of complex algebraic surfaces $X$ defined over $\R$ whose quotients $Y=X/\conj$ by the complex conjugation $\conj$ are $Spin$ simply connected 4-manifolds with signature $16k$, for arbitrary integer $k>0$.
dc.descriptionAMS-TeX, 9 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9607017
dc.identifierhttp://arxiv.org/abs/alg-geom/9607017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150173
dc.subjectAlgebraic Geometry
dc.subject14P25, 57N13
dc.titleOn imaginary plane curves and Spin quotients of complex surfaces by complex conjugation
dc.typetext

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