UNIGE document Scientific Article
previous document  unige:9765  next document
add to browser collection

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
Full text
(ISO format)
BERTRAND, Benoît, BRUGALLÉ, Erwan. A nonalgebraic patchwork. In: Mathematische Zeitschrift, 2008, vol. 259, n° 3, p. 481 - 486. doi: 10.1007/s00209-007-0232-2 https://archive-ouverte.unige.ch/unige:9765

410 hits

0 download


Deposited on : 2010-07-29

Export document
Format :
Citation style :