Yilong Zhang

collaborators

3 papers

math.AG2026

On the discriminant locus of a generic projection

Si-Yang Liu, Yilong Zhang

For a smooth projective variety $X \subseteq P^{N}$ over an algebraically closed field of char $0$ , we show that the discriminant locus of a generic projection of $X$ is proje…

math.AG2026

Failure of the invariant cycle theorem over $Z$

Donu Arapura, François Greer, Yilong Zhang

We initiate a study of the local invariant cycle theorem with integral coefficients for 1-parameter semistable families of varieties. We show that it always holds for $H^{1}$ , and it…

math.AG2024

Elliptic-elliptic surfaces and the Hesse pencil

François Greer, Yilong Zhang

We construct a family of elliptic surfaces with $p_{g} = q = 1$ that arise from base change of the Hesse pencil. We identify explicitly a component of the higher Noether-Lefschetz locus…

On the discriminant locus of a generic projection

Failure of the invariant cycle theorem over Z

Elliptic-elliptic surfaces and the Hesse pencil

Failure of the invariant cycle theorem over $Z$