@inbook{9c057d8dc0494544bd11122132cd2ec2,

title = "Tropical and algebraic curves with multiple points",

abstract = "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.",

keywords = "Del Pezzo surface, Multiple point, Patchworking, Tropical curve, Welschinger invariant",

author = "Eugenii Shustin",

note = "Publisher Copyright: {\textcopyright} 2012, Springer Science+Business Media, LLC.",

year = "2012",

doi = "10.1007/978-0-8176-8277-4_18",

language = "אנגלית",

series = "Progress in Mathematics",

publisher = "Springer Basel",

pages = "431--464",

booktitle = "Progress in Mathematics",

}