Theta-characteristics on tropical curves

Theta-characteristics on tropical curves

We give an explicit description of theta-characteristics on tropical curves and characterize the effective ones. We construct the moduli space, Tgtrop, for tropical theta-characteristics of genus g as a generalized cone complex. We describe the fibers of the specialization map from the moduli space...

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Veröffentlicht in:Journal of pure and applied algebra 2023-05, Vol.227 (5), p.107307, Article 107307
Hauptverfasser: Caporaso, Lucia, Melo, Margarida, Pacini, Marco
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic curve
Moduli space
Theta-characteristic
Tropical curve
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Zusammenfassung:We give an explicit description of theta-characteristics on tropical curves and characterize the effective ones. We construct the moduli space, Tgtrop, for tropical theta-characteristics of genus g as a generalized cone complex. We describe the fibers of the specialization map from the moduli space Sg, of theta-characteristics on algebraic curves, to Tgtrop.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2022.107307