Geodesic
Morphisms on an Algebraic Curve and Divisor Classes in the Self Product
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 715-725

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Morphisms on a curve may be seen as homology classes in the self product. We describe these classes as belonging to an intersection: the locus of integral points of an algebraic set in the complex homology group, and the locus of effective divisor classes. We write down explicit equations for the algebraic set, and in the case of genus three we compute a few explicit solutions over the rationals. 
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     author = {Guerra, Lucio},
     title = {Morphisms on an {Algebraic} {Curve} and {Divisor} {Classes} in the {Self} {Product}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {715--725},
     publisher = {mathdoc},
     volume = {Ser. 8, 10B},
     number = {3},
     year = {2007},
     zbl = {1139.14030},
     mrnumber = {2351541},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a16/}
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Guerra, Lucio. Morphisms on an Algebraic Curve and Divisor Classes in the Self Product. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 715-725. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a16/