A nonalgebraic patchwork

Academic Article

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 ∑ n whose position with respect to the pencil of lines cannot be realized by any real algebraic curve of the same bidegree. © 2007 Springer-Verlag.
  • Authors

    Digital Object Identifier (doi)

    Author List

  • Bertrand B; Brugallé E
  • Start Page

  • 481
  • End Page

  • 486
  • Volume

  • 259
  • Issue

  • 3