A Non-Algebraic Patchwork

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Itenberg and Shustin's pseudoholomorphic curve patchworking is in principle more flexible than Viro's original algebraic one. It was natural to wonder if the former method allows one to construct non-algebraic objects. In this paper we construct the first examples of patchworked real pseudoholomorphic curves in $Σ_n$ whose position with respect to the pencil of lines cannot be realised by any homologous real algebraic curve.
6 pages, 1 figure

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Algebraic Geometry, 14P25; 32Q65; 14J26; 14H50

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http://salesiana.dossiersoluciones.com/handle/123456789/121452

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701246
 http://arxiv.org/abs/math/0701246

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arXiv