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math.AG2023
On the locus of curves mapping to a fixed target
Yeuk Hay Joshua Lam, Federico Moretti, Giovanni Passeri
Suppose is a smooth variety equipped with a top form. We prove a simple theorem giving a sharp lower bound on the geometric genus of a family of subvarieties of , in terms o…
math.AG2023
Finite braid group orbits on -character varieties
Yeuk Hay Joshua Lam, Aaron Landesman, Daniel Litt
Let X be a 2-sphere with n punctures. We classify all conjugacy classes of Zariski-dense representations with finite orbit under the mapping class…
math.AG2023
Frobenius trace fields of cohomologically rigid local systems
Raju Krishnamoorthy, Yeuk Hay Joshua Lam
Let be a smooth variety with simple normal crossings compactification , and let be an irreducible -local system on wit…