TY - JOUR
T1 - New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants
AU - Itenberg, I.
AU - Kharlamov, V.
AU - Shustin, E.
N1 - Funding Information:
The authors were partially supported by a grant from the Ministry of Science and Technology, Israel, and Ministère des Affaires Etrangères, France. The first two authors were partially funded by the ANR-05-0053-01 grant of Agence Nationale de la Recherche and by a grant of Université Louis Pasteur, Strasbourg. The first two authors are participants of the CNRS–RFBR grant “Problems in Mathematical Physics, Tropical and Idempotent Mathematics.” The third author acknowledges the support from the Israel Science Foundation (grant no. 465/04) and the support from the Hermann Minkowski Minerva Center for Geometry at the Tel Aviv University.
PY - 2007/9
Y1 - 2007/9
N2 - We consider ℙ1 × ℙ1 equipped with the complex conjugation (x, y) → (ȳ,x̄) and blown up in at most two real or two complex conjugate points. For these four surfaces we prove the logarithmic equivalence of Welschinger and Gromov-Witten invariants.
AB - We consider ℙ1 × ℙ1 equipped with the complex conjugation (x, y) → (ȳ,x̄) and blown up in at most two real or two complex conjugate points. For these four surfaces we prove the logarithmic equivalence of Welschinger and Gromov-Witten invariants.
UR - http://www.scopus.com/inward/record.url?scp=35148881804&partnerID=8YFLogxK
U2 - 10.1134/S0081543807030078
DO - 10.1134/S0081543807030078
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:35148881804
VL - 258
SP - 65
EP - 73
JO - Proceedings of the Steklov Institute of Mathematics
JF - Proceedings of the Steklov Institute of Mathematics
SN - 0081-5438
IS - 1
ER -