Geodesic
Components with the expected codimension in the moduli scheme of stable spin curves
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 69 (2015) no. 1.

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Here we study the Brill–Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components.
Keywords: Stable curve, theta-characteristic, spin curve, Brill–Noether theory 
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Ballico, Edoardo. Components with the expected codimension in the moduli scheme of stable spin curves. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 69 (2015) no. 1. http://geodesic.mathdoc.fr/item/AUM_2015_69_1_a2/

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