Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane

Details Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane

2004-12-30

arxiv.org/abs/math/0412533v3

Geom. Topol. 9(2005) 483-491

Mathematics

Algebraic Geometry

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper14.abs.html

Scientific paper

We study the growth of the genus zero Gromov-Witten invariants GW_{nD} of the
projective plane P^2_k blown up at k points (where D is a class in the second
homology group of P^2_k). We prove that, under some natural restrictions on D,
the sequence log GW_{nD} is equivalent to lambda n log n, where lambda =
D.c_1(P^2_k).

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