4 papers
Betti bounds for spaces of curves on varieties and Manin's conjecture for quartic del Pezzo surfaces
Enhao Feng, Matthew Hase-Liu
We prove uniform exponential bounds for the compactly supported Betti numbers of spaces of morphisms from curves of fixed genus to projective varieties. For targets in a fixed proj…
Moduli space of genus one curves on quartic and quintic del Pezzo threefolds
Enhao Feng, Fumiya Okamura
In this article, we study the space of smooth genus one curves on del Pezzo threefolds of degree 4 and 5. We describe the irreducible components of the Kontsevich moduli space gene…
Campana separable rational connectedness of toric orbifold
Enhao Feng, Sara Mehidi
We prove that smooth non-klt toric orbifolds are separably Campana rationally connected, extending the result in the klt case. We also show that there always exists a positive char…
Moduli space of genus one curves on cubic threefold
Enhao Feng
Let be a smooth cubic threefold. By invoking ideas from Geometric Manin's Conjecture, we give a complete description of the main components of the Kontsevich moduli space of ge…