arXiv Analytics

Sign in

arXiv:math/0412533 [math.AG]AbstractReferencesReviewsResources

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

Ilia Itenberg, Viatcheslav Kharlamov, Eugenii Shustin

Published 2004-12-30, updated 2005-04-09Version 3

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).

Comments: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper14.abs.html
Journal: Geom. Topol. 9(2005) 483-491
Categories: math.AG, math.SG
Subjects: 14N35, 14J26, 53D45
Related articles: Most relevant | Search more
arXiv:2109.11469 [math.AG] (Published 2021-09-23)
Big quantum cohomology of even dimensional intersections of two quadrics
arXiv:math/0702219 [math.AG] (Published 2007-02-08, updated 2008-07-25)
The genus zero Gromov-Witten invariants of [Sym^2 P^2]
arXiv:2310.13059 [math.AG] (Published 2023-10-19)
Gromov--Witten invariants with naive tangency conditions

Links

Toolbox