Remarks About Morphisms on an Algebraic Curve

Lucio Guerra

Bollettino dell'Unione Matematica Italiana (2010)

  • Volume: 3, Issue: 3, page 505-519
  • ISSN: 0392-4041

Abstract

top
In a previous paper we described the collection of homological equivalence relations on a curve of genus ≥ 2 as the set of integral solutions of certain algebraic equations. In the present paper we improve one argument of the previous paper, and we study the equations more closely for a curve of genus 2.

How to cite

top

Guerra, Lucio. "Remarks About Morphisms on an Algebraic Curve." Bollettino dell'Unione Matematica Italiana 3.3 (2010): 505-519. <http://eudml.org/doc/290697>.

@article{Guerra2010,
abstract = {In a previous paper we described the collection of homological equivalence relations on a curve of genus $\ge 2$ as the set of integral solutions of certain algebraic equations. In the present paper we improve one argument of the previous paper, and we study the equations more closely for a curve of genus 2.},
author = {Guerra, Lucio},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {505-519},
publisher = {Unione Matematica Italiana},
title = {Remarks About Morphisms on an Algebraic Curve},
url = {http://eudml.org/doc/290697},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Guerra, Lucio
TI - Remarks About Morphisms on an Algebraic Curve
JO - Bollettino dell'Unione Matematica Italiana
DA - 2010/10//
PB - Unione Matematica Italiana
VL - 3
IS - 3
SP - 505
EP - 519
AB - In a previous paper we described the collection of homological equivalence relations on a curve of genus $\ge 2$ as the set of integral solutions of certain algebraic equations. In the present paper we improve one argument of the previous paper, and we study the equations more closely for a curve of genus 2.
LA - eng
UR - http://eudml.org/doc/290697
ER -

References

top
  1. BIRKENHAKE, C. - LANGE, H., Complex Abelian Varieties, second edition. Springer-Verlag, Berlin, 2004. Zbl1056.14063MR2062673DOI10.1007/978-3-662-06307-1
  2. DICKSON, L., Introduction to the Theory of Numbers. Dover Publications, New York, 1957. Zbl0084.26901
  3. GUERRA, L., Morphisms on an algebraic curve and divisor classes in the self product. Boll. Unione Mat. Ital. Sez. B (8) 10, no. 3 (2007), 715-725. Zbl1139.14030MR2351541
  4. HAYASHIDA, T. - NISHI, M., Existence of curves of genus two on a product of two elliptic curves. J. Math. Soc. Japan, 17 (1965), 1-16. Zbl0132.41701MR201434DOI10.2969/jmsj/01710001
  5. KANI, E., Bounds on the number of nonrational subfields of a function field. Invent. Math., 85 , no. 1 (1986), 185-198. Zbl0615.12017MR842053DOI10.1007/BF01388797
  6. KUHN, R., Curves of genus 2 with split Jacobian. Trans. Amer. Math. Soc., 307 , no. 1 (1988), 41-49. Zbl0692.14022MR936803DOI10.2307/2000749
  7. KUUSALO, T. - NÄÄTÄNEN, M., Geometric uniformization in genus 2. Ann. Acad. Sci. Fenn. Ser. A I Math., 20, no. 2 (1995), 401-418. Zbl0856.30031MR1346823

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.