Quot schemes for flags and Gromov invariants for flag varieties
alg-geom
2015-06-30 v1 Algebraic Geometry
Abstract
Using Quot schemes and a localization theorem we study Gromov-Witten invariants for partial flag varieties. The strategy is to extend A. Bertram's result of Gromov-Witten invariants for special Schubert varieties of Grassmannians to the case of partial flag varieties. To do so a Grothendieck's Quot scheme is generalized for flags and proven to be an irreducible, rational, smooth, projective variety following Str\o mme \cite{St}.
Cite
@article{arxiv.alg-geom/9512003,
title = {Quot schemes for flags and Gromov invariants for flag varieties},
author = {Bumsig Kim},
journal= {arXiv preprint arXiv:alg-geom/9512003},
year = {2015}
}
Comments
16 pages, wrtten by latex 209, compile twice