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math.AG2023
Explicit constructions of connections on the projective line with a maximally ramified irregular singularity
Neal Livesay, Daniel S. Sage, Bach Nguyen
The Deligne--Simpson problem is an existence problem for connections with specified local behavior. Almost all previous work on this problem has restricted attention to connections…
math.AG2021★ 3 cited
The Deligne-Simpson problem for connections on with a maximally ramified singularity
Maitreyee C. Kulkarni, Neal Livesay, Jacob P. Matherne +2
The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections with residues at the singular points in specified adjoint orbits. Crawley-Boevey fo…