Quot schemes for flags and Gromov invariants for flag varieties

Details Quot schemes for flags and Gromov invariants for flag varieties Quot schemes for flags and Gromov invariants for flag varieties

1995-12-04

arxiv.org/abs/alg-geom/9512003v1

Mathematics

Algebraic Geometry

16 pages, wrtten by latex 209, compile twice

Scientific paper

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}.

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