Yilong Zhang

collaborators

2 papers

math.AG2026

Failure of the invariant cycle theorem over $Z$

Donu Arapura, FranÃ§ois 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.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…

Failure of the invariant cycle theorem over Z

On the discriminant locus of a generic projection

Failure of the invariant cycle theorem over $Z$