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math.AG2024
Codimension of jumping loci
Brian Lehmann, Eric Riedl, Sho Tanimoto
Suppose that is a vector bundle on a smooth projective variety . Given a family of curves on , we study how the Harder-Narasimhan filtration of $\mathcal{E}…
math.AG2024
Campana rational connectedness and weak approximation
Qile Chen, Brian Lehmann, Sho Tanimoto
Campana introduced a notion of Campana rational connectedness for Campana orbifolds. Given a Campana fibration over a complex curve, we prove that a version of weak approximation f…
math.AG2024
Approximating rational points on surfaces
Brian Lehmann, David McKinnon, Matthew Satriano
Let be a smooth projective algebraic variety over a number field and in . In 2007, the second author conjectured that, in a precise sense, if rational points on $…