# Morphisms on an Algebraic Curve and Divisor Classes in the Self Product

Bollettino dell'Unione Matematica Italiana (2007)

- Volume: 10-B, Issue: 3, page 715-725
- ISSN: 0392-4041

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topGuerra, Lucio. "Morphisms on an Algebraic Curve and Divisor Classes in the Self Product." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 715-725. <http://eudml.org/doc/290425>.

@article{Guerra2007,

abstract = {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.},

author = {Guerra, Lucio},

journal = {Bollettino dell'Unione Matematica Italiana},

language = {eng},

month = {10},

number = {3},

pages = {715-725},

publisher = {Unione Matematica Italiana},

title = {Morphisms on an Algebraic Curve and Divisor Classes in the Self Product},

url = {http://eudml.org/doc/290425},

volume = {10-B},

year = {2007},

}

TY - JOUR

AU - Guerra, Lucio

TI - Morphisms on an Algebraic Curve and Divisor Classes in the Self Product

JO - Bollettino dell'Unione Matematica Italiana

DA - 2007/10//

PB - Unione Matematica Italiana

VL - 10-B

IS - 3

SP - 715

EP - 725

AB - 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.

LA - eng

UR - http://eudml.org/doc/290425

ER -

## References

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- TANABE, M., Bounds on the number of holomorphic maps of compact Riemann surfaces, Proc. Amer. Math. Soc., 133 (2005), 3057-3064. Zbl1072.30031MR2159785DOI10.1090/S0002-9939-05-07882-2
- WEIL, A., Sur les courbes algébriques et les variétés qui s'en deduisent, Hermann, Paris, 1948. Zbl0036.16001MR27151

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