For colinked chains, the associated linked projective space is a reduced local complete intersection with rational equidimensional components, diagonal Hilbert polynomial, and the scheme satisfies a Riemann inequality on two-component curves.
Linear series on metrized complexes of algebraic curves
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Degenerations of maps to projective spaces
For colinked chains, the associated linked projective space is a reduced local complete intersection with rational equidimensional components, diagonal Hilbert polynomial, and the scheme satisfies a Riemann inequality on two-component curves.