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math.AG2024
Martens and Mumford theorems for higher rank Brill--Noether loci
Parviz Asefi Nazarlou, Ali Bajravani, George H. Hitching
Generalizing the Martens theorem for line bundles over a curve , we obtain upper bounds on the dimension of the Brill--Noether locus parametrizing stable bundles of…
math.AG2024
On α-stability and linear stability of generated coherent systems
Abel Castorena, George H. Hitching
There is a well studied notion of GIT-stability for coherent systems over curves, which depends on a real parameter . For generated coherent systems, there is a further notion o…