The slope inequality for families in the trigonal locus
The slope inequality for families in the trigonal locus
Let be even, let be a base curve not entirely contained in the Maroni divisor, and let be a family whose singular members belong only to . The slope inequality. The slope satisfies
This gives a bound for the slope of such families in the trigonal locus, under the stated restriction on the singular members and the Maroni divisor. The source supplies no resolution status beyond its presentation as a proposition.
Sources & referencesView supporting material
Primary source
Zvezdelina E. Stankova-Frenkel, “Moduli of Trigonal Curves”, arXiv:alg-geom/9710015 (1997).
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