Genus one enumerative invariants in P^n with fixed j invariant

Details Genus one enumerative invariants in P^n with fixed j invariant Genus one enumerative invariants in P^n with fixed j invariant

1996-08-26

arxiv.org/abs/alg-geom/9608030v1

Mathematics

Algebraic Geometry

LaTeX, 38 pages

Scientific paper

We prove recursive formulas for $\tau_d$, the number of degree $d$ elliptic curves with fixed j-invariant in P^n. We use analysis to relate the classical invariant $\tau_d$ to the genus one perturbed invariant $RT_{1,d}$ defined recently by Ruan and Tian (the later invariant can be computed inductively). By considering a sequence of perturbations converging to zero, we then apply Taubes' Obstruction Bundle method to compute the difference between the two invariants.

Affiliated with

Also associated with

No associations

Rating

Genus one enumerative invariants in P^n with fixed j invariant 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 Genus one enumerative invariants in P^n with fixed j invariant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Genus one enumerative invariants in P^n with fixed j invariant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170180