New perspectives on limit linear series

Maps to projective spaces correspond to linear series. To better study
linear series on smooth curves, Eisenbud and Harris developed their theory
of limit linear series for reducible curves of “compact type. We discuss a
new equivalent description of classical Eisenbud-Harris limit linear series
which generalizes to the higher-rank case, agreeing with the earlier
construction of Teixidor i Bigas, and also to the case of curves not of
compact type, leading to a new definition.