Rational curves on prime Fano threefolds of index 1
Algebraic Geometry
2019-08-26 v2
Abstract
We study the moduli spaces of rational curves on prime Fano threefolds of index 1. For general threefolds of most genera we compute the dimension and the number of irreducible components of these moduli spaces. Our results confirm Geometric Manin's Conjecture in these examples and show the enumerativity of certain Gromov-Witten invariants.
Keywords
Cite
@article{arxiv.1808.05590,
title = {Rational curves on prime Fano threefolds of index 1},
author = {Brian Lehmann and Sho Tanimoto},
journal= {arXiv preprint arXiv:1808.05590},
year = {2019}
}
Comments
We included the discussion of enumerativity of certain Gromov-Witten invariants. 29 pages. to appear in Journal of Algebraic Geometry