TY - JOUR
T1 - Welschinger invariants of real Del Pezzo surfaces of degree ≥ 3
AU - Itenberg, Ilia
AU - Kharlamov, Viatcheslav
AU - Shustin, Eugenii
PY - 2013/3
Y1 - 2013/3
N2 - We give a recursive formula for purely real Welschinger invariants of real Del Pezzo surfaces of degree K2 ≥ 3, where in the case of surfaces of degree 3 with two real components we introduce a certain modification of Welschinger invariants and enumerate exclusively the curves traced on the non-orientable component. As an application, we prove the positivity of the invariants under consideration and their logarithmic asymptotic equivalence, as well as congruence modulo 4, to genus zero Gromov-Witten invariants.
AB - We give a recursive formula for purely real Welschinger invariants of real Del Pezzo surfaces of degree K2 ≥ 3, where in the case of surfaces of degree 3 with two real components we introduce a certain modification of Welschinger invariants and enumerate exclusively the curves traced on the non-orientable component. As an application, we prove the positivity of the invariants under consideration and their logarithmic asymptotic equivalence, as well as congruence modulo 4, to genus zero Gromov-Witten invariants.
UR - http://www.scopus.com/inward/record.url?scp=84874118472&partnerID=8YFLogxK
U2 - 10.1007/s00208-012-0801-5
DO - 10.1007/s00208-012-0801-5
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AN - SCOPUS:84874118472
SN - 0025-5831
VL - 355
SP - 849
EP - 878
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3
ER -