TY - JOUR
T1 - A caporaso-harris type formula for welschinger invariants of real toric Del Pezzo surfaces
AU - Itenberg, Ilia
AU - Kharlamov, Viatcheslav
AU - Shustin, Eugenii
PY - 2009
Y1 - 2009
N2 - 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 Gromov Witten invariants, and are subject to a recursive formula. As application we obtain new formulas for Welschinger invariants of real toric Del Pezzo surfaces.
AB - 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 Gromov Witten invariants, and are subject to a recursive formula. As application we obtain new formulas for Welschinger invariants of real toric Del Pezzo surfaces.
KW - Caporaso-harris formula
KW - Enumerative geometry
KW - Toric surfaces
KW - Tropical curves
KW - Welschinger invariants
UR - http://www.scopus.com/inward/record.url?scp=59149091620&partnerID=8YFLogxK
U2 - 10.4171/CMH/153
DO - 10.4171/CMH/153
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AN - SCOPUS:59149091620
SN - 0010-2571
VL - 84
SP - 87
EP - 126
JO - Commentarii Mathematici Helvetici
JF - Commentarii Mathematici Helvetici
IS - 1
ER -