Tropical and algebraic curves with multiple points
Algebraic Geometry
2009-11-01 v2
Abstract
Patchworking theorems serve as a basic element of the correspondence between tropical and algebraic curves, which is a core of the tropical enumerative geometry. We present a new version of a patchworking theorem which relates plane tropical curves with complex and real algebraic curves having prescribed multiple points. It can be used to compute Welschinger invariants of non-toric Del Pezzo surfaces.
Keywords
Cite
@article{arxiv.0904.2834,
title = {Tropical and algebraic curves with multiple points},
author = {Eugenii Shustin},
journal= {arXiv preprint arXiv:0904.2834},
year = {2009}
}
Comments
35 pages, 3 figures, numerous corrections are made, few illustrating examples are added