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math.AG2026
Frobenius-orbit slicing and uniform elimination of positive-dimensional singular loci
Yutong Zhang, Yaoran Yang
Let $\cX\subseteq\Pj^n_{\Z}$ be a fixed integral quasiprojective subscheme, smooth over of relative dimension . For each fixed , we bound the probability that the $m…
math.AG2026
Hyperplane anti-Bertini embeddings over finite fields
Yutong Zhang, Yaoran Yang
Baker asked, as recorded by Poonen, whether a fixed smooth quasiprojective variety over a finite field must have a smooth rational hyperplane section after every sufficiently high-…