4 research outputs found
A Non-Algebraic Patchwork
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
whose position with respect to the pencil of lines cannot be
realised by any homologous real algebraic curve.Comment: 6 pages, 1 figur