On the number of curves of genus 2 over a finite field

Finite Fields and their Applications

Volumn 9, Issue 4, 2003, Pages 505-526

  Cardona, Gabriel ^a  

^a UNIVERSITAT DE LES ILLES BALEARS   (Spain)

Author keywords

Finite fields; Genus 2 curves; Twists of curves

Indexed keywords

EID: 0142246428     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1071-5797(03)00039-X     Document Type: Article

References (9)

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2. 12, 2002, submitted.
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6. Jun-Ichi Igusa, Arithmetic variety of moduli for genus two, Ann. Math. 72 (3) (1960) 612-649.
7. 2, Finite Fields Appl. 8 (2) (2002) 193-206.
8. Jean-François Mestre, Construction de courbes de genre 2 à partir de leurs modules, in: T. Mora, C. Traverso (Eds.), Effective Methods in Algebraic Geometry (Castiglioncello, 1990), Birkhäuser, Boston, MA, 1991, pp. 313-334.
9. T. Shaska, H. Völklein, Elliptic subfields and automorphisms of genus 2 function fields, in: Proceeding of the Conference on Algebra and Algebraic Geometry with Applications: The celebration of the Seventieth Birthday of Professor S.S. Abhyankar, Lecture Notes in Computer Science, Springer, Berlin, 2001.