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A nonalgebraic patchwork

Brugallé, Erwan
Published in Mathematische Zeitschrift. 2008, vol. 259, no. 3, p. 481 - 486
Abstract 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 nonalgebraic objects. In this paper we construct the first examples of patchworked real pseudoholomorphic curves in Σn whose position with respect to the pencil of lines cannot be realized by any real algebraic curve of the same bidegree.
Keywords Topology of real algebraic curvesViro methodPatchworkingRational ruled surfacesPseudoholomorphic curves
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BERTRAND, Benoît, BRUGALLÉ, Erwan. A nonalgebraic patchwork. In: Mathematische Zeitschrift, 2008, vol. 259, n° 3, p. 481 - 486. https://archive-ouverte.unige.ch/unige:9765

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Deposited on : 2010-07-29

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