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math.AG2026
The fifteenth cohomology group of moduli spaces of stable curves
Amy Bradford, Aitor Iribar López, Andreas Kretschmer +1
The new framework of semi-tautological extensions has allowed for explicit understanding of low-degree odd cohomology groups of moduli spaces of stable curves. Let $S^*_ω(\overline…
math.AG2026
On the Brill--Noether Theory of Sheaves on Regular Surfaces
Samir Geiger, Andreas Kretschmer
We study the Brill--Noether theory of higher rank sheaves on surfaces with and its interactions with the classical Brill--Noether theory of line bund…