Tropical and algebraic curves with multiple points

Eugenii Shustin*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Patchworking theorems serve as a basic element of the correspondence between tropical and algebraic curves, which is a core area of tropical enumerative geometry. We present a new version of a patchworking theorem that relates plane tropical curves to complex and real algebraic curves having prescribed multiple points. It can be used to compute Welschinger invariants of nontoxic del Pezzo surfaces.

Original languageEnglish
Title of host publicationProgress in Mathematics
PublisherSpringer Basel
Number of pages34
StatePublished - 2012

Publication series

NameProgress in Mathematics
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X


  • Del Pezzo surface
  • Multiple point
  • Patchworking
  • Tropical curve
  • Welschinger invariant


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