Remy van Dobben de Bruyn

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20202026

most citedThe construction problem for Hodge numbers modulo an integer in positive characteristic

5 citations · 6 across the 3 of their papers we have counts for

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math.AG2026

Divisors in projective bundles over the projective line whose complement is affine space

Remy van Dobben de Bruyn

Given a smooth projective variety $X$ of dimension $n$ and a closed subscheme $Z \subseteq X$ , it is in general a difficult problem to determine whether $X ∖ Z$ is isomorph…

math.AG2021★ 1 cited

Unbounded negativity on rational surfaces in positive characteristic

Raymond Cheng, Remy van Dobben de Bruyn

We give explicit blowups of the projective plane in positive characteristic that contain smooth rational curves of arbitrarily negative self-intersection, showing that the Bounded…

math.AG2020★ 5 cited

The construction problem for Hodge numbers modulo an integer in positive characteristic

Remy van Dobben de Bruyn, Matthias Paulsen

Let $k$ be an algebraically closed field of positive characteristic. For any integer $m \geq 2$ , we show that the Hodge numbers of a smooth projective $k$ -variety can take on any c…