Absolute and relative Gromov-Witten invariants of very ample hypersurfaces

Details Absolute and relative Gromov-Witten invariants of very ample hypersurfaces Absolute and relative Gromov-Witten invariants of very ample hypersurfaces

1999-08-12

arxiv.org/abs/math/9908054v1

Mathematics

Algebraic Geometry

26 pages

Scientific paper

For any smooth complex projective variety X and smooth very ample hypersurface Y in X, we develop the technique of genus zero relative Gromov-Witten invariants of Y in X in algebro-geometric terms. We prove an equality of cycles in the Chow groups of the moduli spaces of relative stable maps that relates these relative invariants to the Gromov-Witten invariants of X and Y. Given the Gromov-Witten invariants of X, we show that these relations are sufficient to compute all relative invariants, as well as all genus zero Gromov-Witten invariants of Y whose homology and cohomology classes are induced by X.

Affiliated with

Also associated with

No associations

Rating

Absolute and relative Gromov-Witten invariants of very ample hypersurfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Absolute and relative Gromov-Witten invariants of very ample hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Absolute and relative Gromov-Witten invariants of very ample hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662955