Open AccessA Caporaso–Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
Author(s) -
Ilia Itenberg,
Viatcheslav Kharlamov,
Eugeniĭ Shustin
Publication year - 2009
Publication title -
commentarii mathematici helvetici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.603
H-Index - 46
eISSN - 1420-8946
pISSN - 0010-2571
DOI - 10.4171/cmh/153
Subject(s) - mathematics , pure mathematics , type (biology) , combinatorics , ecology , biology
We define a series of relative tropical Welschinger-type invariants of real toric surfaces. In the Del Pezzo case, these invariants can be seen as real tropical analogs of relative GromovWitten invariants, and are subject to a recursive formula. As application we obtain new formulas for Welschinger invariants of real toric Del Pezzo surfaces.
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