H. Uppal

collaborators

4 papers

math.AG2025

Inverse curve problems on del Pezzo surfaces

Enis Kaya, Stephen McKean, Sam Streeter +1

We classify the number of $k$ -rational lines and conic fibrations on del Pezzo surfaces over a field $k$ in terms of relatively minimal surfaces and establish rational curve analog…

math.AG2023

Singular del Pezzo surfaces over finite fields

H. Uppal

If $X$ is a singular del Pezzo surface of degree $d$ over a finite field $F_{q}$ with only rational double point singularities, does there always exist a smooth $\mathbb{F…

math.NT2023

Cubic surfaces failing the integral Hasse principle

Julian Lyczak, Vladimir Mitankin, H. Uppal

We study the integral Brauer--Manin obstruction for affine diagonal cubic surfaces, which we employ to construct the first counterexamples to the integral Hasse principle in this s…

math.NT2023

Integral points on affine surfaces fibered over $A^{1}$

H. Uppal

Profitant du travail de précédent d'Harpaz nous utilisons la méthode de descente-fibration de Swinnerton-Dyer pour étudier les points intégraux sur des surfaces affines qui sont de…

Inverse curve problems on del Pezzo surfaces

Singular del Pezzo surfaces over finite fields

Cubic surfaces failing the integral Hasse principle

Integral points on affine surfaces fibered over A1

Integral points on affine surfaces fibered over $A^{1}$