Rational curves on Fano threefolds with Gorenstein terminal singularities
Algebraic Geometry
2025-05-23 v3
Abstract
We study the spaces of rational curves on Fano threefolds with Gorenstein terminal singularities. We generalize the results regarding Geometric Manin's Conjecture for smooth Fano threefolds, including the classification of subvarieties with higher a-invariants and Movable Bend-and-Break lemma. We also show Geometric Manin's Conjecture for some singular del Pezzo threefolds.
Keywords
Cite
@article{arxiv.2401.15633,
title = {Rational curves on Fano threefolds with Gorenstein terminal singularities},
author = {Fumiya Okamura},
journal= {arXiv preprint arXiv:2401.15633},
year = {2025}
}
Comments
24 pages, final version, to appear in European Journal of Mathematics