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math.AG2026
Fourier duality on compactified Prym fibrations
Anne Larsen
We study Fourier-Mukai duality for a class of compactified Prym fibrations including moduli spaces of Higgs bundles over the elliptic locus. This leads to a shadow of…
math.AG2026
Mapping class group action on the cohomology of the character variety
Anne Larsen
We describe the mapping class group action on the cohomology of the twisted -character variety of a surface of genus . Our main tool is a relative version o…
math.AG2024
Reider-type theorems on normal surfaces via Bridgeland stability
Anne Larsen, Anda Tenie
Using Langer's construction of Bridgeland stability conditions on normal surfaces, we prove Reider-type theorems generalizing the work done by Arcara-Bertram in the smooth case. Ou…