5 papers
A converse to geometric Manin's conjecture for general low degree hypersurfaces and Poincaré duality
Matthew Hase-Liu
Geometric Manin's conjecture predicts that components of the moduli space of curves on a Fano variety parametrizing non-free curves are pathological and arise from "accumulating" m…
A geometric approach to functional equations for general multiple Dirichlet series over function fields
Matthew Hase-Liu
Sawin recently gave an axiomatic characterization of multiple Dirichlet series over the function field and proved their existence by exhibiting the coefficients…
A higher genus circle method and an application to geometric Manin's conjecture
Matthew Hase-Liu
Browning and Vishe used the Hardy-Littlewood circle method to show the moduli space of rational curves on smooth hypersurfaces of low degree is irreducible and of the expected dime…
Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method
Jakob Glas, Matthew Hase-Liu
We study the singularities of the moduli space of degree maps from smooth genus curves to an arbitrary smooth hypersurface of low degree. For large compared to , we…
Non-smoothness of Moduli Spaces of Higher Genus Curves on Low Degree Hypersurfaces
Matthew Hase-Liu, Amal Mattoo
We show that the moduli space of degree maps from smooth genus curves to an arbitrary low degree smooth hypersurface is singular when is large compared to . We…